MechanicsPhysicsPerturbation theoryGravityPhysicistsChromodynamicsEntanglementMathematicalFundamentalPhenomenaElectrodynamicsDescribeRelativistic quantuProbabilisticParticlesBehaviorQuantizationMechanicalIntroduction to quantum informAdvancesPerturbativeAlgorithmsCosmologyField theoriesGeneral relativity and quantum fieldFiniteTopologicalThermodynamicsElectromagneticAlgebraicAspects of quantum theoryMethodsRelativityPhotonsOpticsAbstractCryptographyFeynmanPrinciplesString TheoryMathematicsGaugeConceptsEquationsComputationUnifyNewton'sLagrangianEntropyKinetic TheoryPrincipleFormulationExplainsParticleSymmetryPhotosynthesisTheoremsRelevanceProbability theorySpinMicroscopicPredictiveScientistsBookExperimental

###### Mechanics69

- Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. (springer.com)
- This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. (springer.com)
- and the path-integral approach to quantum mechanics. (springer.com)
- You should be aware that this problem is avoided by Bohm's intepretation of quantum mechanics - so it is not inherent in the physics. (mail-archive.com)
- A new interpretation of the emission of light by heated objects and new experimental methods that opened the atomic world for study led to a radical departure from the classical theories of Newton and Maxwell- quantum mechanics was born. (britannica.com)
- But why do this, especially as there is no apparent causal link between quantum mechanics and the conscious mind? (slashdot.org)
- Quantum field theory is a mathematical theory in physics which extends quantum mechanics . (conservapedia.com)
- At present, the deepest problem in theoretical physics is harmonizing the theory of general relativity, which describes gravitation and applies to large-scale structures (stars, planets, galaxies), with quantum mechanics which describes the other three fundamental forces acting on the microscopic scale. (awesomelibrary.org)
- Quantum mechanics says that if no one is observing it, the radioactive material is simultaneously in both the decaying and non-decaying states. (skepticalscience.com)
- This text is ideal for mathematicians, physicists dealing with
**quantum theory**and mechanics, students, and professors in advanced mathematics. (elsevier.com) - At the same time on the experimental side, equally spectacular progress has been made in developing experimental machinery and techniques to test the foundations of quantum mechanics. (springer.com)
- During recent years spectacular progress has been made in experimentally testing the foundations of quantum mechanics. (springer.com)
- But that is not how things work in the real world, the world of quantum mechanics. (stallman.org)
- It is normal in quantum mechanics for an object to change gradually from state A to state B, even though there are no intermediate states between A and B. (stallman.org)
- Quantum mechanics is a fundamental and universal principle of nature, confirmed by thousands of experiments. (stallman.org)
- It is hard to make positive statements about the behavior of souls in the absence of positive evidence that they exist, but they would probably obey quantum mechanics like everything else. (stallman.org)
- see below) shows that the very existence of a human being is subject to quantum mechanics, so the states where one would or would not expect a soul can be combined in continuously varying amplitudes. (stallman.org)
- For the present argument, it is sufficient that there is no proof that souls (supposing they exist) are not governed by quantum mechanics. (stallman.org)
- Busemeyer and co are at pains to distance themselves from research that uses quantum mechanics to model the brain in an attempt to understand consciousness. (technologyreview.com)
- Physicists have struggled to marry quantum mechanics with gravity for decades. (scientificamerican.com)
- The snag is that in quantum mechanics, time retains its Newtonian aloofness, providing the stage against which matter dances but never being affected by its presence. (scientificamerican.com)
- To the average person, quantum mechanics is the convoluted, science fiction-y branch of physics. (rt.com)
- "The idea of parallel universes in quantum mechanics has been around since 1957," Wiseman said in a statement. (rt.com)
- "The beauty of our approach is that if there is just one world our theory reduces to Newtonian mechanics, while if there is a gigantic number of worlds it reproduces quantum mechanics," he said in the statement. (rt.com)
- I think I can safely say that nobody understands quantum mechanics. (rt.com)
- "Any explanation of quantum phenomena is going to be weird, and standard quantum mechanics does not really offer any explanation at all ‒ it just makes predictions for laboratory experiments," Wiseman told the Huffington Post in an email. (rt.com)
- Others in the quantum mechanics field ranged from skepticism to excitement, Huffington Post reported, noting there is no consensus on whether "many interacting worlds" exist or interact. (rt.com)
- While I was away last week on vacation, it seems that Springer has published my book on quantum mechanics and representation theory (previously discussed in various blog posts ). (columbia.edu)
- Some consequences of (Everettian) quantum mechanics for decision theory itself are also discussed. (pitt.edu)
- In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity and quantum mechanics. (wikipedia.org)
- Each interaction can be visually represented by Feynman diagrams according to perturbation theory in quantum mechanics. (wikipedia.org)
- Quantum field theory is the result of the combination of classical field theory, quantum mechanics, and special relativity. (wikipedia.org)
- Max Planck's study of blackbody radiation marked the beginning of quantum mechanics. (wikipedia.org)
- if there are a functionally infinite number of universes, plugging such assumptions into the theory produces quantum mechanics. (geek.com)
- A physicist Max Planck first theorised in 1900, then Einstein reinforced his thinking in 1905, and by 1912 we had
**quantum theory**, then quantum mechanics 1922, quantum jump 1955, and leaving us with quantum leap in 1970. (hubpages.com) - Quantum mechanics is the study of matter and radiation at an atomic level. (hubpages.com)
- We develop and defend the thesis that the Hilbert space formalism of quantum mechanics is a new theory of probability. (pitt.edu)
- Florida State University researchers found that the theory of quantum mechanics does not adequately explain how the heaviest and rarest elements found at the end of the table function. (eurekalert.org)
- Quantum mechanics are essentially the rules that govern how atoms behave and fully explain the chemical behavior of most of the elements on the table. (eurekalert.org)
- They weren't following the normal rules of quantum mechanics. (eurekalert.org)
- Wick ordering of creation and annihilation operators is of fundamental importance for computing averages and correlations in quantum field theory and, by extension, in the Hudson-Parthasarathy theory of quantum stochastic processes, quantum mechanics, stochastic processes, and probability. (cambridge.org)
- It's neat that close to his 400th birthday (he was born on 23 November 1616), a new proof of his product-based approximation for π has been published, and that the proof arises from the study of quantum mechanics of the hydrogen atom. (intmath.com)
- Quantum mechanics is when God cheats . (principiadiscordia.com)
- Yes, that is a summary of how quantum mechanics relates to the reality we perceive. (principiadiscordia.com)
- When the dimensionality of the wave packet is negligible you get the special case of quantum mechanics known as classical mechanics. (principiadiscordia.com)
- Peres's book is a treasure trove of novel perspectives on quantum mechanics and is in many ways the best book on physics that I have seen in a long time. (ebooks.com)
- The general theory of Quantum Mechanics is often hidden behind the applications in the more famous books like Sakurai, Gasiorowitz etc. (ebooks.com)
- Moreover, quantum mechanics implies that a wave function renormalization arises in the QFT field independent of any perturbation theory - a point not sufficiently emphasized in the literature. (ebooks.com)
- Though the author makes a point of deriving points in detail, the book still requires good background knowledge of quantum mechanics, including the Dirac Theory, as well as elements of the Klein-Gordon equation. (ebooks.com)
- I think it is safe to say that no one understands quantum mechanics. (allaboutcircuits.com)
- The nature and behavior of matter and energy at that level is sometimes referred to as quantum physics and quantum mechanics. (techtarget.com)
- This touches on interpretational issues of quantum mechanics, cosmological observations and properties of quantum gravity. (perimeterinstitute.ca)
- Chapters 39-43 describe the role of instantons in quantum mechanics and field theory. (google.de)
- Quantum physics - also called quantum mechanics or quantum field theory - can be daunting for even the most dedicated student or enthusiast of science, math, or physics. (wiley.com)
- The success of this model led scientists such as Heisenberg, De Broglie and others to further expand on the concept of quantization and especially with Schrödinger's wave equation quantum mechanics a model of the atom essentially what it is today was developed. (calleman.com)
- Hence, quantum mechanics defines how geometries organize energy, and the properties of all matter (all elements) is created by the build-up of such quantum states to higher levels. (calleman.com)
- Attempts at such a unification, sometimes talked about as a Theory of Everything, have however not been successful and according to the official world of science the microcosmos is described by one theory with one set of basic premises - quantum mechanics - while the macrocosmos is best described by another theory - general relativity - with another set of basic premises. (calleman.com)
- This title is organised around the motion of diffusive motion and the relevance of diffusive motion to quantum mechanics and quantum field theory. (valorebooks.com)
- Free will has nothing to do with quantum mechanics. (edge.org)
- He was a pioneer in quantum mechanics and the first to champion the idea that light can behave as a particle and as a wave. (wfae.org)
- Blackness cannot be integrated with quantum mechanics at very high energies. (strangehorizons.com)
- 1.1 Information, computers and quantum mechanics. (wiley.com)
- This will be performed in collaboration with experimental tests of the theory that olfaction uses non-classical mechanics. (surrey.ac.uk)
- At the moment the differences between Quantum Mechanics and General Relativity stand unresolved. (fluther.com)
- The theory is applied to student understanding of quantum mechanics. (compadre.org)
- This chapter introduces studies on student difficulties in learning Quantum Mechanics. (compadre.org)
- The model evaluation process is used to investigate student understanding of classical pre-requisites for quantum mechanics and important quantum concepts. (compadre.org)
- Quantum and Classical Connections in Modeling Atomic, Molecular and Electrodynamic Systems is intended for scientists and graduate students interested in the foundations of quantum mechanics and applied scientists interested in accurate atomic and molecular models. (platekompaniet.no)
- However, they may still admit a class of theories beyond quantum mechanics. (arxiv.org)

###### Physics66

- British physicist Roger Penrose recently argued "that we will need to invoke 'new physics and exotic biological structures': rewriting
**quantum theory**to make sense of consciousness. (slashdot.org) - For some phenomena in quantum many-body physics several competing theories exist. (eurekalert.org)
- Understanding such extraordinary states of matter is challenging: quantum simulators based on ultracold Lithium atoms have been developed to study the physics of high-temperature superconductors. (eurekalert.org)
- Quantum theory provides an extremely accurate description of fundamental processes in physics. (nature.com)
- String theory is often touted as the best option for physics beyond the Standard Model, and for unifying gravity with
**quantum theory**. (scienceblogs.com) - Renowned for his many contributions to particle physics and string theory, Witten has almost single-handedly constructed a new branch of mathematical physics. (awesomelibrary.org)
- who assumes the physics of the analytic properties of the S-matrix, containing physical ideas and test results without using the proper mathematical methods, and Hwa and Teplitz, whose works are more mathematically inclined with applications of algebraic topology and homology theory. (elsevier.com)
- However, a later stage in the argument depends on another premise that neither the fundamentalists nor their critics have recognized: an assumption taken from classical non-quantum "common sense" physics. (stallman.org)
- Hoava's theory has been generating excitement since he proposed it in January, and physicists met to discuss it at a meeting in November at the Perimeter Institute for Theoretical Physics in Waterloo, Ontario. (scientificamerican.com)
- Amsterdam, January 16, 2014 - A review and update of a controversial 20-year-old theory of consciousness published in Physics of Life Reviews claims that consciousness derives from deeper level, finer scale activities inside brain neurons. (eurekalert.org)
- This volume presents a summary of density functional theory and its applications in chemistry from atomic physics to molecular dynamics. (worldcat.org)
- In quantum physics, "why" is a bit of a dirty word. (geek.com)
- Quantum physics is great at describing such subatomic impossibilities and can even make useful predictions about how we could exploit them practically, but it says nothing about a principle that could actually explain them. (geek.com)
- Now, two Australian physicists say that interactions between these hypothetical worlds could explain quantum physics in much the same way. (geek.com)
- Interestingly, these researchers claim that their math can describe both classical and quantum physics with different assumptions for the nature of reality. (geek.com)
- The main research interest of our group is in fundamental aspects of quantum physics. (bristol.ac.uk)
- Applications of this principle to various problems in quantum physics are considered (hidden variable problem, Wigner type theorems, decoherence functional, etc. (indigo.ca)
- On the theoretical physics side, they are instrumental in recovering technical assumptions of the axiomatics of quantum theories only by considering algebraic properties of finitely additive measures (states) on quantum propositions. (indigo.ca)
- 1. Introduction to Quantum Physics. (ebooks.com)
- But behind this revolution in technology stands an even greater revolution in general science: the field of quantum physics . (allaboutcircuits.com)
- Quantum physics is an incredibly complicated realm of science. (allaboutcircuits.com)
- Without a basic understanding of quantum physics, or at least an understanding of the scientific discoveries that led to its formulation, though, it is impossible to understand how and why semiconductor electronic devices function. (allaboutcircuits.com)
- Further attempts at defining atomic structure were undertaken, and these efforts helped pave the way for the bizarre discoveries of quantum physics. (allaboutcircuits.com)
- Nevertheless, despite the revolution of quantum physics and its contribution to our understanding of atomic structure, Rutherford's solar-system picture of the atom embedded itself in the popular consciousness to such a degree that it persists in some areas of study even when inappropriate. (allaboutcircuits.com)
- Quantum theory is the theoretical basis of modern physics that explains the nature and behavior of matter and energy on the atomic and subatomic level. (techtarget.com)
- Planck won the Nobel Prize in Physics for his theory in 1918, but developments by various scientists over a thirty-year period all contributed to the modern understanding of
**quantum theory**. (techtarget.com) - The arXiv version, and the Physics Reports version to appear, use the spacetime metric signature (+1,-1,-1,-1), as is found for example in the field theory textbooks by Ramond , and by Peskin and Schroeder . (niu.edu)
- A reference to the book "Quantum Physics" by Glimm and Jaffe might be helpful. (scholarpedia.org)
- While fundamental physics is at some level well described by quantum field theory , a typical Lagrangian used to define such a QFT can reasonably be expected to define only degrees of freedom and interactions that are relevant up to some given energy scale. (ncatlab.org)
- On a side note, the faster rotational speeds of stars closer to the secondary density of the black hole are caused by the fact (within this theory), that the primary electron density of the black hole has been pushed beyond the event horizon due to the enormous density of the black hole due to as yet unknown facts about black hole physics. (thenakedscientists.com)
- books.google.de - The book is an introduction to quantum field theory and renormalization group.It shows that these frameworks are essential for the understanding of phenomena belonging to many different areas of physics, which range from phase transitions in macroscopic systems to the theory of fundamental interactions. (google.de)
- Although there are several good textbooks on QFT, this is the first toemphasize the common aspects of particle physics and the theory of critical phenomena in a unified framework. (google.de)
- In chapters 13-21, renormalization properties of theories with symmetries are studied and specific applications to particle physics are emphasized. (google.de)
- Progress toward quantum simulation of quantum field theory will require the collaborative efforts of quantumists and field theorists, and though the physics payoff may still be far away, it's worthwhile to get started now. (cornell.edu)
- Today's research can hasten the arrival of a new era in which quantum simulation fuels rapid progress in fundamental physics. (cornell.edu)
- Preskill is the Richard P. Feynman Professor of Theoretical Physics at the California Institute of Technology, and director of the Institute for Quantum Information and Matter at Caltech. (cornell.edu)
- Scientists have discovered a new mechanism involved in the creation of paired light particles, which could have significant impact on the study of quantum physics. (uea.ac.uk)
- The ground-breaking research could have significant implications for quantum physics, the theoretical basis of modern physics. (uea.ac.uk)
- The entanglement of the quantum states in each pair has important applications in quantum computing - theoretical computation systems that could potentially process big data problems at incredible speeds - as well as other areas of quantum physics. (uea.ac.uk)
- I often hear the terms quantum physics and
**quantum theory**used by people pushing pseudoscience. (skeptoid.com) - It is so tiring to hear peddlers of supernatural nonsense supporting their claims by citing quantum physics. (skeptoid.com)
- Quantum theory is the study of matter and physics at a very small, subatomic scale. (skeptoid.com)
- In the quantum world, these physics no longer apply, in part because that world is driven by different fundamental forces, and we have weird things like particle-wave duality and singularities and spin and entanglement, for which there are no analogs in classical physics. (skeptoid.com)
- When Rhonda Byrne wrote The Secret and claimed that quantum physics explains how you can wish for things and they'll magically appear, she didn't know anything more about quantum physics than the average person on the street. (skeptoid.com)
- Quantum Physics For Dummies, Revised Edition helps make quantum physics understandable and accessible. (wiley.com)
- From what quantum physics can do for the world to understanding hydrogen atoms, readers will get complete coverage of the subject, along with numerous examples to help them tackle the tough equations. (wiley.com)
- Compatible with classroom text books and courses, Quantum Physics For Dummies, Revised Edition lets students study at their own paces and helps them prepare for graduate or professional exams. (wiley.com)
- How is it possible that a fundamental physical theory cannot be described using the ordinary language of Physics? (mdpi.com)
- It produces the observable numbers which are checked to great precision in experiments starting from the early development of quantum electrodynamics , fully established with the success of quantum chromodynamics and recently culminating in the Higgs field physics seen at the LHC experiment, confirming the standard model of particle physics . (ncatlab.org)
- Quantum Field Theory is now well recognized as a powerful tool not only in Particle Physics but also in Nuclear Physics, Condensed Matter Physics, Solid State Physics and even in Mathematics. (e-booksdirectory.com)
- In this book some current applications of Quantum Field Theory to those areas of modern physics and mathematics are collected, in order to offer a deeper understanding of known facts and unsolved problems. (e-booksdirectory.com)
- A quantum leap is instantaneous and in contrast to in Newtonian physics shifts in potential energy do not take place gradually or continuously. (calleman.com)
- To further highlight the differences between Newtonian and quantum physics it might be added that the different electrons in different quantum states are entangled and that their effects are non-local implying that everything in the universe is connected through an underlying quantum field. (calleman.com)
- For a long time modern physics has however tried to unify the
**quantum theory**that describes the microcosmic realm well with Einstein's theory of general relativity which describes the macrocosmic space-time and gravitational phenomena. (calleman.com) - A controversial theory that the way we smell involves a quantum physics effect has received a boost, following experiments with human subjects. (quinessence.com)
- Tantalisingly, the idea hints at quantum effects occurring in biological systems - an idea that is itself driving a new field of science, as the BBC feature article Are birds hijacking quantum physics? (quinessence.com)
- This book deals with quantum field theory, the language of modern elementary particles physics. (whsmith.co.uk)
- How could anyone seriously try to claim that the predictivity situation of the SM quantum field theory (our most successful fundamental theory of physics, which makes a wealth of detailed, accurate, tested predictions) and string theory unification (a theory that predicts nothing) was the same? (columbia.edu)
- CARLO ROVELLI is a theoretical physicist, working on quantum gravity and on foundations of spacetime physics. (edge.org)
- Walter Heitler (1904-81) was a noted Professor of Physics at the University of Zurich who made contributions to quantum electrodynamics and
**quantum theory**. (google.co.in) - Applicants must have a PhD in Physics, Computer Science or Mathematics and a proven record of research in the areas of or quantum computations or quantum information science. (quantiki.org)
- Recent advancements in quantum physics have opened up new doors, where products called quantum random number generators that produce acclaimed true randomness have emerged. (diva-portal.org)
- The basic problem of much of condensed matter and high energy physics, as well as quantum chemistry, is to find the ground state properties of some Hamiltonian. (ucsb.edu)
- Tales of the Quantum' is a discussion of the fundamental principles of quantum physics for the non-scientific reader. (indigo.ca)
- The theoretical foundation is based on useful ideas from theories in cognitive science, education, and physics education. (compadre.org)
- Despite its enormous empirical success, the formalism of
**quantum theory**still raises fundamental questions: why is nature described in terms of complex Hilbert spaces, and what modifications of it could we reasonably expect to find in some regimes of physics? (arxiv.org)

###### Perturbation theory6

- Our group's research is focused on understanding unique properties and behavior of materials and interfaces, using first principles quantum mechanical calculations based mostly on density functional theory and many-body perturbation theory. (weizmann.ac.il)
- 8.1), perturbation theory (def. (physicsforums.com)
- p. 16: I think it is worth mentioning that the strong coupling expansion has a finite radius of convergence, whereas perturbation theory is expected to be divergent and at best asymptotic. (scholarpedia.org)
- It is in principle possible that there is some more fundamental theory with plenty of excitations at high energies that is however degreewise finite in perturbation theory , whose effective description at low energy is given by the non-renormalizable Einstein-Hilbert action . (ncatlab.org)
- We discuss the rigorous formulation of effective perturbative QFT in terms of causal perturbation theory / perturbative AQFT , due to ( Brunetti-Dütsch-Fredenhagen 09, section 5.2 , Dütsch 10 ), reviewed in Dütsch 18, section 3.8 ). (ncatlab.org)
- Perturbation theory, one-loop effects for quantum electrodynamics, and renormalization properties are also covered. (whsmith.co.uk)

###### Gravity18

- This has led to attempts at alternative formulations to reconcile Field Theory and GR. In contrast to the other three forces of nature (electromagnetic, weak nuclear, strong nuclear), which have extensive and impressive experimental confirmation [9] , no alternative formulations of quantum gravity have experimental confirmation. (conservapedia.com)
- Field theory can model the first three forces with a high degree of precision and success, but fails for gravity [13] , for reasons described below. (conservapedia.com)
- No one disputes the need for a
**quantum theory**of gravity, as general relativity is woefully insufficient for describing gravitational fields at extremely small distances. (scienceblogs.com) - In particular, four options, including loop quantum gravity, asymptotically safe gravity, causal dynamical triangulations and emergent gravity are all worth considering as serious options. (scienceblogs.com)
- Ask Ethan #91: Does Quantum Gravity Need String Theory? (scienceblogs.com)
- It seems that unzipping the fabric of spacetime and harking back to 19th-century notions of time could lead to a theory of quantum gravity. (scientificamerican.com)
- More specifically, the problem is the way that time is tied up with space in Einstein's theory of gravity: general relativity. (scientificamerican.com)
- The solution, Hoava says, is to snip threads that bind time to space at very high energies, such as those found in the early universe where quantum gravity rules. (scientificamerican.com)
- In fact, he has co-opted the mathematics of exotic phase transitions to build his theory of gravity. (scientificamerican.com)
- So far it seems to be working: the infinities that plague other theories of quantum gravity have been tamed, and the theory spits out a well-behaved graviton. (scientificamerican.com)
- It also seems to match with computer simulations of quantum gravity. (scientificamerican.com)
- General relativity scored a knockout blow when Einstein predicted the motion of Mercury with greater accuracy than Newton's theory of gravity could. (scientificamerican.com)
- The present volume sets the language, the notation and provides additional background for reading Quantum Field Theory II - Introduction to Quantum Gravity, Supersymmetry and String Theory, by the same author. (ebooks.com)
- Quantum fluctuations of matter fields are supposed to have provided the initial seeds of all the structure of the current universe, and quantum gravity is assumed to have been essential in the earliest stages. (perimeterinstitute.ca)
- New theory of dark matter and quantum gravity. (thenakedscientists.com)
- Ok, all this sounds a bit grandiose but I think I've come up with a decent theory of dark matter that also explains gravity, and I'd love someone to prove me wrong (or at least give compelling reasons why this is incorrect). (thenakedscientists.com)
- In my theory it's primarily the gravity of the other planets and secondarily the gravity of the rest of the galaxy that pulls on Mercury and causes precession in it's orbit. (thenakedscientists.com)
- How Should We Interpret the Quantum Hamiltonian Constraints of Canonical Gravity? (mdpi.com)

###### Physicists13

- For quantum physicists, it is more of a tormentor, clawing at their belief in a treasured theory and coughing up hairballs over its claim to provide true enlightenment about the workings of reality. (newscientist.com)
- But while some physicists continue to debate the true significance of the result, others see an opportunity in it, a clue to where a more powerful theory of the world's fundamental workings might lie. (newscientist.com)
- Physicists are now using the method to analyze images - so-called snapshots - of quantum many-body systems and find out which theory describes the observed phenomena best. (eurekalert.org)
- They take snapshots of the quantum system, which exists simultaneously in different configurations - physicists speak of a superposition. (eurekalert.org)
- Because of the application of diffusive motion to
**quantum theory**, it will interest physicists as well as mathematicians. (google.com) - Physicists at the U.S. Department of Energy's Argonne National Laboratory have devised a potentially groundbreaking theory demonstrating how to control the spin of particles without using superconducting magnets - a development that could advance the field of spintronics and bring scientists a step closer to quantum computing. (osnews.com)
- In the last few years, physicists have learned that the different string theories discovered and studied in different ways are limiting cases of a single, more powerful theory, known as M theory. (awesomelibrary.org)
- The book is aimed at mathematical physicists, theoretical physicists, applied mathematicians, and experimental physicists working in such areas as decoherence, quantum information, and quantum optics. (springer.com)
- "All quantum effects arise from, and only from, the interaction between worlds," the physicists explained in their abstract. (rt.com)
- As a successful theoretical framework today, quantum field theory emerged from the work of generations of theoretical physicists spanning much of the 20th century. (wikipedia.org)
- Featuring many worked examples, the book is aimed at mathematical physicists, quantum field theorists, and probabilists, including graduate and advanced undergraduate students. (cambridge.org)
- There is no fundamental disagreement among physicists on how to use the theory for these practical purposes. (ebooks.com)
- Physicists have been proposing strange theories for decades as unification becomes more and more frustrating. (fluther.com)

###### Chromodynamics3

- Further, it presents "deep inelastic" experiments as a fundamental application of quantum chromodynamics. (ebooks.com)
- Forthcoming exascale digital computers will further advance our knowledge of quantum chromodynamics, but formidable challenges will remain. (cornell.edu)
- Theory of Strong Interaction -- Quantum Chromodynamics. (e-booksdirectory.com)

###### Entanglement4

- In particular, a major focus of our research has been quantum entanglement and non-locality. (bristol.ac.uk)
- f) We hypothesize that even in the absence of decoherence macroscopic entanglement can very rarely be observed, and provide a precise conjecture to that effect .We also discuss the relation of the present approach to quantum logic, realism and truth, and the measurement problem. (pitt.edu)
- Quantum entanglement - when particles are linked so closely that what affects one directly affects the other - is widely used in labs in numerous processes from quantum cryptography to quantum teleportation. (uea.ac.uk)
- Ideas such as entanglement entropy from quantum information theory and quantum computing enable us to understand the difficulty of various problems. (ucsb.edu)

###### Mathematical12

- The class BQP of languages that are efficiently decidable (with small error-probability) on a quantum Turing machine satisfies BPP ⊆ BQP ⊆ P ♯P. Therefore, there is no possibility of giving a mathematical proof that quantum Turing machines are more powerful than classical probabilistic Turing machines (in the unrelativized setting) unless there is a major breakthrough in complexity theory. (psu.edu)
- Ever since its mathematical rules began to crystallise in the 1920s,
**quantum theory**has been an affront to our sense of decency. (newscientist.com) - It is fitting that the final chapter provides a mathematical perspective on musical theory, one that reveals an unexpected connection with some of the book's main themes. (google.com)
- The following is one chapter in a series on Mathematical Quantum Field Theory . (physicsforums.com)
- He and many of his colleagues proved otherwise, and much of their theories are used in mathematical equations for the solving of complex problems. (hubpages.com)
- The mathematical formalism of
**quantum theory**has instead been successful in capturing these phenomena such as graded membership, situational meaning, composition of categories, and also more complex decision making situations, which cannot be modeled in traditional probabilistic approaches. (frontiersin.org) - The purpose of this book is to clarify the conceptual meaning of
**quantum theory**, and to explain some of the mathematical methods which it utilizes. (ebooks.com) - Planck wrote a mathematical equation involving a figure to represent these individual units of energy, which he called quanta . (techtarget.com)
- While many of the mathematical intricacies of this approach have found solutions over the decades, most of these rely on global properties of Minkowski spacetime such as translation invariance and existence of an invariant vacuum quantum state , hence on a consistent concept of particles . (ncatlab.org)
- It also explains how thinking about diffusion can lead to a radical re-examination of the structure of mathematical analysis.Faris, William G. is the author of 'Diffusion,
**Quantum Theory**, and Radically Elementary Mathematics ', published 2006 under ISBN 9780691125459 and ISBN 0691125457. (valorebooks.com) - QFT is successful because it includes a specific class of theories that have a lot of symmetry, and a very tight mathematical structure. (columbia.edu)
- The theory of resurgence is a mathematical tool which allows us to effectively study this connection and its consequences. (cern.ch)

###### Fundamental9

- Superstring theory is an attempt to explain all of the particles and fundamental forces of nature in one theory by modeling them as vibrations of tiny supersymmetric strings. (awesomelibrary.org)
- QFT treats particles as excited states (also called quanta) of their underlying quantum fields, which are more fundamental than the particles. (wikipedia.org)
- Due to the fundamental character of the effects we study, we are also interested in and able to contribute to various other fields, including quantum optics, thermodynamics, and quantum biology. (bristol.ac.uk)
- Planck assumed there was a theory yet to emerge from the discovery of quanta, but, in fact, their very existence implied a completely new and fundamental understanding of the laws of nature. (techtarget.com)
- In this perspective one speaks of the theory as being the effective quantum field theory of some - possibly known but possibly unspecified - more fundamental theory. (ncatlab.org)
- In the perspective of effective field theory notably non-renormalizable interaction Lagrangians can still make perfect sense as effective theories and give rise to well defined predictions: they can be effective approximations to renormalizable more fundamental theories. (ncatlab.org)
- Now, the identification of a new delocalized mechanism shows that each photon pair can be emitted from spatially separated points, introducing a new positional uncertainty of a fundamental quantum origin. (uea.ac.uk)
- Explaining these phenomena required the fundamental insight that on the scale of atoms energy is quantised , i.e. it can only be transferred in discrete packets, called quanta (the Planck Hypothesis). (uwaterloo.ca)
- Fundamental to this project is the investigation of olfaction as a quantum effect, therefore it will comprise of an analysis of olfaction as a closed and an open quantum system. (surrey.ac.uk)

###### Phenomena7

- Quantum theory is often seen as the root cause of unrelated, mysterious phenomena. (slashdot.org)
- We also believe that, in providing a new mental picture of quantum effects, it will be useful in planning experiments to test and exploit quantum phenomena. (rt.com)
- A more precise and far-seeing way to predict how quantum phenomena will proceed could impact everything from industrial processes to quantum cryptography. (geek.com)
- This attitude will undoubtedly antagonize some readers, but it has its own logic: quantum phenomena do not occur in a Hilbert space, they occur in a laboratory. (ebooks.com)
- The development of quantum technologies presents both a chance to exploit to exotic quantum phenomena and also new questions for the foundations of
**quantum theory**. (gla.ac.uk) - The interaction between light and matter provides the most controllable arena for exploring and, indeed, exploiting quantum phenomena. (gla.ac.uk)
- Combined with the AdS/CFT computations that can reproduce the anomalous linear resistivity and other non-standard transport phenomena found in quantum criticical electron systems, these results give reason to believe that AdS/CFT string theories are good phenomenological models for quantum-critical Fermi systems. (ifae.es)

###### Electrodynamics1

- Its development began in the 1920s with the description of interactions between light and electrons, culminating in the first quantum field theory-quantum electrodynamics. (wikipedia.org)

###### Describe10

- The book provides all the essential principles of the quantum biological information theory required to describe the quantum information transfer from DNA to proteins, the sources of genetic noise and genetic errors as well as their effects. (springer.com)
- The reasoning is that if
**quantum theory**is a universally valid theory capable of making sense of reality, it should be able to describe people using**quantum theory**. (newscientist.com) - In contrast, Field Theory can describe states containing arbitrary numbers of particles of different energies, masses, charges and types. (conservapedia.com)
- Robert Dijkgraaf, on Verlinde's work There are many attempts out there to reconcile the quantum field theories that describe the electromagnetic and nuclear forces with general relativity, which describes the gravitational force. (scienceblogs.com)
- This quantum behavior is counterintuitive, even hard to describe without equations, but--strange as it may seem--this is how everything in the world works. (stallman.org)
- If the principles of quantum information processing better describe the way humans make decisions, what does that imply about the way the brain works? (technologyreview.com)
- While the Many Worlds are supposed to diverge and never interact with one another, these two researchers claim that their formulae describe ways that interacting parallel worlds could explain some of the truly incomprehensible behavior of quantum particles. (geek.com)
- In its insistence on C*-algebras its ambition is to describe the full non-perturbative quantum field theory. (ncatlab.org)
- The theory you describe is Dijkgraaf-Witten theory with target space a discrete set with $r$ elements. (mathoverflow.net)
- We shall demonstrate that AdS/CFT is holographically able to describe the controlled emergence of regular and irregular Fermi liquids from a strongly coupled quantum critical state. (ifae.es)

###### Relativistic quantu1

- and a chaper on finite temperature relativistic quantum field theory. (google.de)

###### Probabilistic6

- We show the existence of a problem, relative to an oracle, that can be solved in polynomial time on a quantum Turing machine, but requires superpolynomial time on a bounded-error probabilistic Turing machine, and thus not in the class BPP. (psu.edu)
- This book offers an excellent account of the probabilistic aspects of
**quantum theory**, focused on the interplay between quantum field theory and quantum stochastic calculus. (cambridge.org) - Quantum theory is a probabilistic calculus that enables the calculation of the probabilities of the possible outcomes of a measurement performed on a physical system. (mdpi.com)
- But what is the relationship between this probabilistic calculus and probability theory itself? (mdpi.com)
- We employ two postulates that any probabilistic theory with reasonable thermodynamic behavior should arguably satisfy. (arxiv.org)
- In the framework of generalized probabilistic theories, we show that these postulates already imply important aspects of
**quantum theory**, like self-duality and analogues of projective measurements, subspaces and eigenvalues. (arxiv.org)

###### Particles8

- Field theory describes the interactions between subatomic particles, such as electrons, protons, quarks and photons. (conservapedia.com)
- The differences between basic QM and Field Theory are these: in QM, the interactions between more than two particles are increasingly difficult to model, and the creation and destruction of particles cannot be modeled at all. (conservapedia.com)
- Field Theory also provides an elegant framework for describing the interactions between particles, and the creation of new particles and destruction of old ones-- for example, the emission and absorption of photons by electrons, and vice versa [2] . (conservapedia.com)
- In a similar manner, in string theory, the elementary particles we observe in particle accelerators could be thought of as the 'musical notes' or excitation modes of elementary strings. (awesomelibrary.org)
- Interactions between particles are described by interaction terms in the Lagrangian involving their corresponding quantum fields. (wikipedia.org)
- Quantum or the actuality of measuring small particles was first considered in the 1600's, and there have been multitudes of conjectured thought since then. (hubpages.com)
- Quantum is simply the measuring of particles and sub particles that make up the substance of our universe. (hubpages.com)
- It provides periodic solutions of classical equations, semi-classical methods, and theories of systems composed of very intense electromagnetic fields and particles. (platekompaniet.no)

###### Behavior2

- Instead, another well-known scientific theory -- Albert Einstein's famous Theory of Relativity -- helps govern the behavior of the last 21 elements of the Periodic Table. (eurekalert.org)
- 1.1.3 Emergence of quantum behavior. (wiley.com)

###### Quantization2

- The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization. (springer.com)
- This is the structure which then further below leads over to the quantization ( deformation quantization ) of the prequantum field theory to a genuine perturbative quantum field theory . (physicsforums.com)

###### Mechanical10

- We establish how these familiar primitives can be implemented and introduce some new, purely quantum mechanical primitives, such as changing the computational basis and carrying out an arbitrary unitary transformation of polynomially bounded dimension. (psu.edu)
- Each snapshot of the quantum system gives one specific configuration according to its quantum mechanical probability. (eurekalert.org)
- Quantum simulation methods based on electronic-structure theory are deemed unfit to cope with atomic heat transport within the Green-Kubo formalism, because quantum-mechanical energy densities and currents are inherently ill-defined at the atomic scale. (nature.com)
- Statistical-mechanical theory of irreversible processes. (nature.com)
- The shortest summary of quantum mechanical reality I know of would be this: The dimensionality of the wave packet is not always negligible, although it often is. (principiadiscordia.com)
- The earliest reference is On the controllability of quantum‐mechanical systems (1983). (mathoverflow.net)
- 4.3.1 Quantum mechanical projection postulate. (wiley.com)
- 6.2 Quantum mechanical computers. (wiley.com)
- 7.2.3 Quantum mechanical model. (wiley.com)
- One theory suggests that odorants are characterized by their quantum mechanical vibrations (phonons) [1]. (surrey.ac.uk)

###### Introduction to quantum inform1

- This book is a self-contained, tutorial-based introduction to quantum information theory and quantum biology. (springer.com)

###### Advances4

- Advances in quantum chemistry. (worldcat.org)
- I thought you might be interested in this item at http://www.worldcat.org/oclc/437245285 Title: Advances in quantum chemistry. (worldcat.org)
- Add tags for "Advances in quantum chemistry. (worldcat.org)
- In this paper, we present some recent advances in our quantum approach to concepts. (frontiersin.org)

###### Perturbative2

- Locally covariant perturbative quantum field theory provides a synthesis of these two opposites. (ncatlab.org)
- In order to study the weakly coupled regime of some given
**quantum theory**we often make use of perturbative expansions of the physical quantities of interest. (cern.ch)

###### Algorithms4

- Applications are invited for a postdoctoral research position with a possibility for extension, in the field of theory of quantum computations and quantum algorithms. (quantiki.org)
- The successful applicant will work in the research group led by Prof Jacob Biamonte in the area of quantum computations and quantum networks, with a focus on quantum enhanced algorithms and error mitigation on experimental devices. (quantiki.org)
- 1. Develop, optimize, and benchmark variational quantum algorithms (e.g. (quantiki.org)
- 1.3.2 Quantum algorithms. (wiley.com)

###### Cosmology2

- Not only general relativity but also
**quantum theory**plays important roles in current cosmology. (perimeterinstitute.ca) - None of this generalizes robustly to quantum field theory on curved spacetimes of relevance in cosmology , black hole radiation or the instanton vacuum of QCD . (ncatlab.org)

###### Field theories1

- We have introduced the concept of Lagrangian field theories ##(E,\mathbf{L})## in terms of a field bundle ##E## equipped with a Lagrangian density ##\mathbf{L}## on its jet bundle (def. (physicsforums.com)

###### General relativity and quantum field1

- This book will be accessible to students and researchers who have had introductory courses in general relativity and quantum field theory, and will be of interest to scientists in general relativity and related fields. (uchicago.edu)

###### Finite4

- Whenever a quantum state exists in some indeterminate state, as when an electron could be anywhere within a certain area around an atom for instance, its collapse to a finite reality creates another world. (geek.com)
- H_0,H_1$ are nice operators (as nice as there is theory available, so for instance: $H_0$ has compact resolvent and $H_1$ is bounded, both on a finite interval with dirichlet conditions). (mathoverflow.net)
- For some quantum systems, such as spin systems, the quantum evolution equation (the Schrödinger equation) is finite-dimensional and old results on controllability of systems defined on on Lie groups and quotient spaces provide most of what is needed insofar as controllability of non-dissipative systems is concerned. (mathoverflow.net)
- Treatments of the optimality of quantum control are mainly restricted to finite-dimensional systems, but they do include the effects of coupling to the environment (which adds a non-unitary time-dependence, instead of the Schrödinger equation you would have the Lindblad equation). (mathoverflow.net)

###### Topological2

- The book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors. (e-booksdirectory.com)
- As explained in section 3 of this paper of Freed, Hopkins, Lurie and Teleman, this topological field theory should actually extend all the way down to $0$-manifolds, yielding a fully extended topological field theory. (mathoverflow.net)

###### Thermodynamics2

- In the late 1890s, calculations of the spectrum of blackbody radiation based on classical electromagnetic theory and thermodynamics could not duplicate the results of careful measurements. (britannica.com)
- Here we address these questions by studying how compatibility with thermodynamics constrains the structure of
**quantum theory**. (arxiv.org)

###### Electromagnetic4

- In 1905 Albert Einstein gave a ground-breaking physical interpretation to Planck's mathematics when he proposed that electromagnetic radiation itself is granular, consisting of quanta , each with an energy h f . (britannica.com)
- For instance, the electromagnetic force can be described quantum-mechanically by the motion of photons. (scientificamerican.com)
- theory of interactions between molecules and electromagnetic fields Author: Hendrik F Hameka Publisher: Reading, Mass., Addison-Wesley Pub. (worldcat.org)
- The novelty of this work consists of accurate connections between the properties of quantum equations and corresponding classical equations used to calculate the energetic values and the symmetry properties of atomic, molecular and electrodynamical systems, as well as offering applications using methods for calculating the symmetry properties and the energetic values of systems and the calculation of properties of high harmonics in interactions between very intense electromagnetic fields and electrons. (platekompaniet.no)

###### Algebraic3

- He begins with a treatment of the ordinary one-dimensional quantum harmonic oscillator, progresses through the construction of quantum field theory in flat spacetime to possible constructions of quantum field theory in curved spacetime, and, ultimately, to an algebraic formulation of the theory. (uchicago.edu)
- Another part of the monograph deals with a fascinating interplay of algebraic properties of the projection lattice with the continuity of measures (the analysis of Jauch-Piron states, independence conditions in quantum field theory, etc. (indigo.ca)
- Specifically: This takes care of the " algebraic adiabatic limit ", which defines the quantum observables . (ncatlab.org)

###### Aspects of quantum theory1

- It is also relevant to understanding various aspects of
**quantum theory**. (google.com)

###### Methods3

- Quantum Theory: Concepts and Methods should be the given choice for any introductory course in QM, not because it is easy or simple but just because there are no better books! (ebooks.com)
- The book can be roughly dividedinto four parts: chapters 1-12 deal with general field theory, functional integrals, and functional methods. (google.de)
- 3. Integrate quantum-computing methods with tensor network theory and/or machine learning. (quantiki.org)

###### Relativity9

- These are but a few of the extraordinary consequences of Einstein's theory of relativity. (audible.com)
- Quantum Field Theory has Special Relativity built in as an intrinsic part of the theory [8] . (conservapedia.com)
- However, the most naive application of Field Theory to General Relativity is known to be unworkable. (conservapedia.com)
- But, Thomas Albrecht-Schmitt, the Gregory R. Choppin Professor of Chemistry at FSU, found that these rules are somewhat overridden by Einstein's Theory of Relativity when it comes to the heavier, lesser known elements of the Periodic Table. (eurekalert.org)
- Albrecht-Schmitt and his team realized that Einstein's Theory of Relativity actually explained what they saw in the berkelium compounds. (eurekalert.org)
- Under the Theory of Relativity, the faster anything with mass moves, the heavier it gets. (eurekalert.org)
- Particular emphasis is placed on the concept of a quantum field and its particle content to provide an appropriate description of physical processes at high energies, where relativity becomes indispensable. (ebooks.com)
- When you think about Albert Einstein, the words E=MC squared and Theory of Relativity naturally come to mind. (wfae.org)
- Might fractal geometry finally reconcile general relativity and
**quantum theory**? (fluther.com)

###### Photons2

- Building on this idea, Albert Einstein proposed in 1905 an explanation for the photoelectric effect, that light is composed of individual packets of energy called photons (the quanta of light). (wikipedia.org)
- Prof Andrews said: "Everything has a certain quantum 'fuzziness' to it, and photons are not the hard little bullets of light that are popularly imagined. (uea.ac.uk)

###### Optics2

- Cambridge University Press has just published The
**Quantum Theory**of Nonlinear Optics, by Peter Drummond and Mark Hillery. (cuny.edu) - The current research activities of the
**Quantum Theory**Group cover a wide range of activities, principally within the fields of quantum optics and quantum information, including quantum foundations. (gla.ac.uk)

###### Abstract1

- Theory: Abstract thought, conjecture, plausible but not proven. (hubpages.com)

###### Cryptography1

- Such ideas are important, in particular, in quantum communications and we have an active interest in the study of quantum cryptography [4-5]. (gla.ac.uk)

###### Feynman3

- Analytic Properties of Feynman Diagrams in Quantum Field Theory deals with quantum field theory, particularly in the study of the analytic properties of Feynman graphs. (elsevier.com)
- It also introduces a 'field calculus' which acts as a succinct alternative to standard Feynman diagrams and formulates quantum field theory (cumulant moments, Dyson-Schwinger equation, tree expansions, 1-particle irreducibility) in this language. (cambridge.org)
- This is the home page for the review paper "Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry", by Herbi K. Dreiner , Howard E. Haber , and Stephen P. Martin . (niu.edu)

###### Principles7

- What Busemeyer and co are saying is that the principles of quantum information processing, including the ideas of superposition and interference, lead to better models of the way humans make decisions. (technologyreview.com)
- 6: Basic Principles Of Quantum Measure Theory. (indigo.ca)
- Here we offer a contribution to the problem from the angle of Quantum Information, providing a short non-technical presentation of a recent derivation of
**Quantum Theory**from information-theoretic principles. (mdpi.com) - The broad picture emerging from the principles is that
**Quantum Theory**is the only standard theory of information that is compatible with the purity and reversibility of physical processes. (mdpi.com) - In order to create a unified theory about the workings of the universe what I have then done is to develop a macrocosmic
**quantum theory**, which is not identical with the microcosmic theory but shares many basic principles with this that may help us understand how the universe works. (calleman.com) - In this paper, we answer these questions, and precisely determine the relationship between
**quantum theory**and probability theory, by explicitly deriving both theories from first principles. (mdpi.com) - Because distorted of the pious download quantum differences using 5HT panel do Second enable also within the alleged or initial times and the Principles by which they are broadly observed has compared then by the caries over thin enforcement than by H2O)4 distribution benefits, the reason's parasite illustrates the activity between location and mutation. (prigsbee.com)

###### String Theory15

- What are quantum gravity's alternatives to string theory? (scienceblogs.com)
- I just think too many nice things have happened in string theory for it to be all wrong. (scienceblogs.com)
- Image credit: NASA/Goddard/Wade Sisler, of Brian Greene presenting on String Theory. (scienceblogs.com)
- But string theory isn't the only game in town. (scienceblogs.com)
- Includes the basics for understanding string theory. (awesomelibrary.org)
- Provides a history of how string theory has evolved. (awesomelibrary.org)
- In this excerpt from his book The Elegant Universe, Brian Greene explains why string theory might hold the key to unifying the four forces of nature. (awesomelibrary.org)
- Super-string theory is one possible answer, along with the perhaps more fantastical Many Worlds hypothesis. (geek.com)
- For instance, string theory is meant to be such a theory. (ncatlab.org)
- Isn't string theory just as predictive as quantum field theory? (columbia.edu)
- This has become probably the most common argument made by string theorists when string theory is criticized for being non-predictive. (columbia.edu)
- Yes, it's true that you could instead look at extremely complicated examples of QFTs, making them so complicated that you would lose predictivity and start to get something more like string theory. (columbia.edu)
- That's the problem with string theory unification schemes: you have to put more into them than you get out, the hall-mark of a failed idea. (columbia.edu)
- Consider string theory, which introduced the concept of vibration. (strangehorizons.com)
- We will argue that theoretical questions posed by experiments on quantum critical states of electron systems might be best answerable with string theory through the anti-de Sitter/Conformal Field Theory correspondence. (ifae.es)

###### Mathematics3

- Diffusion,
**Quantum Theory**, and Radically Elementary Mathematics. (google.com) - perhaps too simple for the mathematics of other theory to compute on their level. (hubpages.com)
- I'm not sure about any universal properties, but this theory is definitely related to a lot of interesting mathematics. (mathoverflow.net)

###### Gauge3

- The development of gauge theory and the completion of the Standard Model in the 1970s led to a renaissance of quantum field theory. (wikipedia.org)
- The elegant functional differential approach put forward by Schwinger, referred to as the quantum dynamical (action) principle, and its underlying theory are used systematically in order to generate the so-called vacuum-to-vacuum transition amplitude of both abelian and non-abelian gauge theories, in addition to Feynman's well-known functional integral approach, referred to as the path-integral approach. (ebooks.com)
- Given the wealth of information also to be found in the abelian case, equal importance is put on both abelian and non-abelian gauge theories. (ebooks.com)

###### Concepts7

- As we uncover Lagrangian field theory further below, we discover ever more general concepts of " space " in differential geometry, such as smooth manifolds , diffeological spaces , infinitesimal neighbourhoods , supermanifolds , Lie algebroids and super Lie ∞-algebroids . (physicsforums.com)
- In addition to exploring how the strange properties of
**quantum theory**can be harnessed for information processing, tools and concepts from this field have led to a much deeper understanding of**quantum theory**. (bristol.ac.uk) - Theories of natural language and concepts have been unable to model the flexibility, creativity, context-dependence, and emergence, exhibited by words, concepts and their combinations. (frontiersin.org)
- We show how a formal quantum approach to concepts and their combinations can provide a powerful extension of prototype theory. (frontiersin.org)
- Theories of concepts struggle to capture the creative flexibility with which concepts are used in natural language, and combined into larger complexes with emergent meaning, as well as the context-dependent manner in which concepts are understood ( Geeraerts, 1989 ). (frontiersin.org)
- This led to formulation of "prototype theory," according to which concepts are organized around family resemblances, and consist of characteristic, rather than defining, features. (frontiersin.org)
- By starting from experimental facts he shows in a clear way which concepts are necessary for QM and what the theory actually implies on the real world. (ebooks.com)

###### Equations2

- The theory of classical electromagnetism was completed in 1864 with Maxwell's equations, which described the relationship between the electric field, the magnetic field, electric current, and electric charge. (wikipedia.org)
- But at the beginning of the twentieth century, Newton's equations have been replaced by those of
**quantum theory**, which bring back an element of indeterminism, quite similar, in fact, to Epicurus's correction of Democritus's determinism. (edge.org)

###### Computation4

- In this paper we study quantum computation from a complexity theoretic viewpoint. (psu.edu)
- This justifies the claim that the quantum Turing machine model should be regarded as a discrete model of computation and not an analog one. (psu.edu)
- Applicants are required to have a background in quantum information, quantum computation, quantum communication or relative fields. (quantiki.org)
- Prof. D. Suter is an experimentalist and well known for his NMR-work and currently working on quantum computation projects. (wiley.com)

###### Unify1

- It attempts to unify all string theories. (awesomelibrary.org)

###### Newton's2

- In between it predicts something new that is neither Newton's theory nor
**quantum theory**. (rt.com) - The earliest successful classical field theory is one that emerged from Newton's law of universal gravitation, despite the complete absence of the concept of fields from his 1687 treatise Philosophiæ Naturalis Principia Mathematica. (wikipedia.org)

###### Lagrangian1

- But in (53) we have seen that the Lagrangian density of a Lagrangian field theory is just one component, in codimension 0, of an inhomogeneous " Lepage form " which in codimension 1 is given by the presymplectic potential current ##\Theta_{BFV}## (49) . (physicsforums.com)

###### Entropy1

- Using a thought experiment by von Neumann, we show that these theories admit a consistent thermodynamic notion of entropy, and prove that the second law holds for projective measurements and mixing procedures. (arxiv.org)

###### Kinetic Theory1

- Liboff, Richard L. is the author of 'Kinetic Theory: Classical, Quantum and Relativistic Description', published 1991 under ISBN 9780135160893 and ISBN 0135160898. (valorebooks.com)

###### Principle2

- Here, we propose a Gedankenexperiment to investigate the question whether
**quantum theory**can, in principle, have universal validity. (nature.com) - This theory became known as the uncertainty principle , which prompted Albert Einstein's famous comment, 'God does not play dice. (techtarget.com)

###### Formulation4

- We give the first formal evidence that quantum Turing machines violate the modern (complexity theoretic) formulation of the Church-Turing thesis. (psu.edu)
- In this book, Robert Wald provides a coherent, pedagogical introduction to the formulation of quantum field theory in curved spacetime. (uchicago.edu)
- In his presentation, Wald disentangles essential features of the theory from inessential ones (such as a particle interpretation) and clarifies relationships between various approaches to the formulation of the theory. (uchicago.edu)
- To put this into perspective, notice that formulation of quantum field theory has many aspects and perspectives. (ncatlab.org)

###### Explains1

- This book explains diffusive motion and its relation to both nonrelativistic
**quantum theory**and quantum field theory. (google.com)

###### Particle3

- Albert Einstein's theory of light Learn about Albert Einstein's 1905 paper on why light is a particle. (britannica.com)
- Niels Bohr proposed the Copenhagen interpretation of
**quantum theory**, which asserts that a particle is whatever it is measured to be (for example, a wave or a particle), but that it cannot be assumed to have specific properties, or even to exist, until it is measured. (techtarget.com) - One place fractal theory can be used effectively is light theory, when we need to treat light as both a particle and a wave simultaneously. (fluther.com)

###### Symmetry1

- Knuth, K.H.
**Quantum Theory**and Probability Theory: Their Relationship and Origin in Symmetry. (mdpi.com)

###### Photosynthesis2

- Includes in-depth discussion of the quantum biological channel modelling, quantum biological channel capacity calculation, quantum models of aging, quantum models of evolution, quantum models on tumor and cancer development, quantum modeling of bird navigation compass, quantum aspects of photosynthesis, quantum biological error correction. (springer.com)
- However, evidence has now shown warm quantum coherence in plant photosynthesis, bird brain navigation, our sense of smell, and brain microtubules. (eurekalert.org)

###### Theorems2

- Gleason Type Theorems For Quantum Logics. (indigo.ca)
- It produces the structural theorems of quantum field theory, such as the PCT theorem and the spin-statistics theorem and it seamlessly generalizes to QFT on curved spacetimes . (ncatlab.org)

###### Relevance1

- Real
**quantum theory**has no conceivable relevance to paranormal claims like The Secret or What the Bleep Do We Know, thus its frequent employ is almost always without any scientific meaning. (skeptoid.com)

###### Probability theory7

- Until now, psychologists have turned to classical probability theory to study the concept of probability judgement error. (technologyreview.com)
- They say that quantum probability theory leads to more realistic predictions about the type of errors humans make. (technologyreview.com)
- Quantum probability theory is a general and coherent theory based on a set of (von Neumann) axioms which relax some of the constraints underlying classic (Kolmogorov) probability theory," say the team. (technologyreview.com)
- These results have no direct analogy in the standard measure and probability theory. (indigo.ca)
- Is
**quantum theory**compatible with probability theory? (mdpi.com) - If so, does it extend or generalize probability theory? (mdpi.com)
- We prove, for example, that
**quantum theory**is compatible with probability theory by explicitly deriving**quantum theory**on the assumption that probability theory is generally valid. (mdpi.com)

###### Spin2

###### Microscopic2

- It thus seems likely that the theory is applicable beyond the, mostly microscopic, domain in which it has been tested experimentally. (nature.com)
- Direct experimental tests of
**quantum theory**are mostly restricted to microscopic domains. (nature.com)

###### Predictive2

- After the training phase with theoretical data, the neural network had to apply what it had learned and assign snapshots from the quantum simulators to theory A or B. The network thus selected the theory which is more predictive. (eurekalert.org)
- The retrodictive form embodies a synthesis of conventional predictive
**quantum theory**with Bayes' theorem and we have used this as the basis of a practical approach to image reconstruction [7,8]. (gla.ac.uk)

###### Scientists2

- A radical new theory plays into that, proposing that parallel universes exist and interact with each other ‒ and that scientists may be able to test for them. (rt.com)
- And although many more scientists are taking the vibrational theory seriously than back in 1996, it remains an extraordinarily polarised debate. (quinessence.com)

###### Book4

- This entry was posted in Quantum Theory: The Book . (columbia.edu)
- This book develops the unified combinatorial framework behind these examples, starting with the simplest mathematically, and working up to the Fock space setting for quantum fields. (cambridge.org)
- Students in this field might benefit from first reading the book Quantum Theory: A Wide Spectrum (Springer, 2006), by the same author. (ebooks.com)
- All this is laid out beautifully in a new book called, "Einstein and the Quantum: The Quest of the Valiant Swabian. (wfae.org)

###### Experimental1

- The applicant should expect interaction with experimental collaborators from Skoltech, MSU and leading theory research groups overseas. (quantiki.org)