It is a non-trivial result of quantum field theory that the exchange of even-spin bosons like the pion (spin 0, Yukawa force) ... A. Zee (2010). "I.5". Quantum Field Theory in a Nutshell (2nd ed.). World Scientific. ISBN 978-0691140346. Itzykson, Claude; ... ISBN 0-07-232002-8. Peskin, Michael E.; Schroeder, Daniel V. (1995). An Introduction to Quantum Field Theory. Addison-Wesley. ... ISBN 0-201-50397-2. (Articles with short description, Short description is different from Wikidata, Quantum field theory, ...
Quantum algorithms, Quantum complexity theory, Computational complexity theory). ... "Quantum Complexity Theory". SIAM Journal on Computing. 26 (5): 1411-1473. doi:10.1137/S0097539796300921. S D Fallek, C D Herold ... only one query is needed using quantum computing. The quantum algorithm is as follows: Apply a Hadamard transform to the n {\ ... The Bernstein-Vazirani algorithm, which solves the Bernstein-Vazirani problem, is a quantum algorithm invented by Ethan ...
Itzykson, C.; Zuber, J.-B. (1980). Quantum Field Theory. McGraw-Hill. ISBN 978-0-07-032071-0. Griffiths, D. (1987). ... In quantum mechanics, when a Hamiltonian has a symmetry, that symmetry manifests itself through a set of states that have the ... This Yang-Mills theory describes interacting vector bosons, like the photon of electromagnetism. Unlike the photon, the SU(2) ... In nuclear physics and particle physics, isospin (I) is a quantum number related to the up- and down quark content of the ...
Quantum information theory). ... Nielsen's theorem is a result in quantum information concerning ...
Chitambar, Eric; Gour, Gilad (2019-04-04). "Quantum resource theories". Reviews of Modern Physics. 91 (2): 025001. arXiv: ... In quantum information and quantum computation, an entanglement monotone is a function that quantifies the amount of ... Quantum information theory, All stub articles, Physics stubs). ... entanglement present in a quantum state. Any entanglement ... Horodecki, Ryszard; Horodecki, Paweł; Horodecki, Michał; Horodecki, Karol (2009-06-17). "Quantum entanglement". Reviews of ...
M. Srednicki (2015). Quantum Field Theory. Cambridge University Press. ISBN 978-0-521-86449-7. Masiero, A.; Nanopoulos, A.; ... Grand Unified Theory, Supersymmetric quantum field theory). ... the Georgi-Glashow model is a particular Grand Unified Theory ( ... For a more elementary introduction to how the representation theory of Lie algebras are related to particle physics, see the ... Baez, J.C.; Huerta, J. (2010). "The Algebra of Grand Unified Theories". Bulletin of the American Mathematical Society. 47 (3): ...
... or most other Quantum Field Theory books. Schwartz, Quantum Field Theory and the Standard Model, Chapter 28.1 Marco Frasca ( ... In quantum field theory, a quartic interaction is a type of self-interaction in a scalar field. Other types of quartic ... Scalar field theory Quantum triviality Landau pole Renormalization Higgs mechanism Goldstone boson Coleman-Weinberg potential ... t Hooft, G., "The Conceptual Basis of Quantum Field Theory" (online version). (Articles with short description, Short ...
In quantum field theory, the Lehmann-Symanzik-Zimmerman (LSZ) reduction formula is a method to calculate S-matrix elements (the ... It is a step of the path that starts from the Lagrangian of some quantum field theory and leads to prediction of measurable ... Peskin; Schroeder (2018-05-04). An Introduction To Quantum Field Theory. CRC Press. doi:10.1201/9780429503559. ISBN 978-0-429- ... ISBN 978-0-511-81391-7. Weinberg, Steven (1995). The Quantum Theory of Fields: Volume 1: Foundations. Vol. 1. Cambridge: ...
Quantum Field Theory, see Chapter 2 and Appendix A). These differ very slightly from Bjorken & Drell Relativistic Quantum ... Itzykson, Claude; Zuber, Jean-Bernard (1980). Quantum Field Theory. MacGraw-Hill. §2‑1‑2, page 49. Andreas Aste, (2010) "A ... An Introduction to Quantum Field Theory, M.E. Peskin, D.V. Schroeder, Addison-Wesley, 1995, ISBN 0-201-50397-2 James D. Bjorken ... Writing the quantum Hamiltonian with the conventional sign convention H = i ∂ t {\displaystyle H=i\partial _{t}} leads to the ...
ISBN 0-534-40846-X. Srednicki, Mark A. (2007). Quantum field theory. Cambridge, [England] ; New York [NY.]: Cambridge ... In the general theory of relativity the equation of motion for a particle with mass m {\displaystyle m} and charge e {\ ... ISBN 0-19-850593-0. Whittaker, E. T. (1910). A History of the Theories of Aether and Electricity: From the Age of Descartes to ... The modern concept of electric and magnetic fields first arose in the theories of Michael Faraday, particularly his idea of ...
Quantum Field Theory. New York, NY: MacGraw-Hill. Appendix A. Kaku, M. (October 1994) [1993]. Quantum Field Theory: A modern ... These lecture notes are based on an introductory course on quantum field theory, aimed at Part III (i.e. masters level) ... In other words, if p μ {\displaystyle p_{\mu }} null, then p / {\displaystyle p\!\!\!/} has nullity 2. In quantum field theory ... ISBN 0-471-88741-2 - via Internet Archive (archive.org). Zee, A. (2003). Quantum Field Theory in a Nutshell. Princeton, NJ: ...
The Historical Development of Quantum Theory. Vol. 1, часть 2. The Quantum Theory of Planck, Einstein, Bohr and Sommerfeld: Its ... v t e (CS1: long volume value, Chemical bonding, Quantum chemistry, Chemistry theories, Electron, All stub articles, Quantum ... Tomonaga S.I. (1962). Quantum Mechanics. Vol. 2. Old quantum theory. North-Holland Publishing. p. 162. Kragh, Helge (2012). "Ch ... A working theory of chemical bonding was formulated only by quantum mechanics on the basis of the principle of uncertainty and ...
The above then is a sketch of the general idea of a quantum field in quantum field theory. The physical interpretation is that ... In quantum field theory, charge conjugation can be understood as the exchange of particles with anti-particles. To understand ... There is no particular forced requirement to use perturbation theory, to construct quantum fields that will act as middle-men ... When the Dirac field is second-quantized, as in quantum field theory, the spinor and electromagnetic fields are described by ...
p. Chapter 7. Roman, P. (1965). Advanced Quantum Theory. Addison-Wesley. Torkaman, N.M.; Ganjkhanlou, Y.; Kazemzad, M.; Dabaghi ... starting from first principles quantum mechanics and solid state physics. An expression for n as a function of photon energy, ...
Quantum information theory). ... In quantum information, the Hayden-Preskill thought experiment ... The black hole can be thought of as a quantum operator, which takes the quantum state of the original mass and converts it into ... the idea that a quantum system can only be entangled with one other quantum system. To fix this problem, either postulate 2 or ... Alice throws a k qubit quantum state into a black hole that is entangled with Bob's quantum computer. Bob collects the Hawking ...
Quantum Field Theory. Springer, Berlin. Volume 1: Basics in Mathematics and Physics. 2006, ISBN 3-540-34762-3. Volume 2: ... Quantum Electrodynamics. 2008, ISBN 978-3-540-85376-3. Volume 3: Gauge Theory. 2011, ISBN 978-3-642-22420-1. Volume 4-6: ...
"Imagining De-gentrified Futures". Black Quantum Theory. 2020-11-04. Retrieved 2023-09-27. "David Godbold". Kerlin Gallery. 2015 ...
Quantum Field Theory. Cambridge University Press. ISBN 978-0-521-46946-3. Cayley, A. (1858). "A Memoir on the Theory of ... Algebraic Number Theory, a Computational Approach (PDF). p. 29. Bhatia 1997, p. 7 Garrett 2007, p. 381 Zhang 1997 Alagös, Y.; ... doi:10.1515/crll.1878.84.1. Gantmacher, F.R. (1960). The Theory of Matrices. NY: Chelsea Publishing. ISBN 978-0-8218-1376-8. ... Householder, Alston S. (2006). The Theory of Matrices in Numerical Analysis. Dover Books on Mathematics. ISBN 978-0486449722. ...
doi:10.1016/0022-1236(74)90074-3. Shale, David (1979). "On geometric ideas which lie at the foundation of quantum theory". ... doi:10.1016/0022-1236(79)90015-6. Shale, David (1982). "Discrete quantum theory". Foundations of Physics. 12 (7): 661-687. ... He was an expert in the mathematical foundations of Quantum Physics with many very original ideas on the subject. In addition, ... He was also an expert in Bayesian Probability Theory, especially as it applied to Physics. According to Irving Segal: ... ...
Quantum Field Theory. Cambridge University Press. p. 18. ISBN 0-521-47242-3. "Moo-Young Han's Profile". Archived from the ... symmetry is the basis for the quantum chromodynamics (QCD) which is now the standard theory for the strong nuclear force sector ... A Short Introduction to Quantum Field Theory of Quarks and Leptons (2004, World Scientific). From Photons to Higgs: A Story of ... Han is the author of 5 books and editor of a collection of papers on quantum physics and advanced technology: The Secret Life ...
D. McMahon (2008). Quantum Field Theory. DeMystified. Mc Graw Hill (USA). pp. 11, 88. ISBN 978-0-07-154382-8. Gibbons, Gary ... Hsieh, David (2008). "A topological Dirac insulator in a quantum spin Hall phase". Nature. 452 (7190): 970-974. doi:10.1038/ ...
... quantum chaos, quantum optics; the theory of non-classical light; the theory of quantum noise; and the quantum theory of ... Micius Quantum Prize for "his foundational work on quantum metrology and quantum information theory, especially for elucidating ... His present research is concentrated on quantum metrology, quantum control, and quantum information science. In addition to his ... Caves has made seminal contributions to the theory of continuous measurements in quantum mechanics and to the formulation of ...
doi:10.1016/j.amc.2005.09.078.. Bernstein, Ethan; Vazirani, Umesh (1997). "Quantum Complexity Theory". SIAM Journal on ... This is not possible using the standard qubit-model quantum computer, because it is proven that a regular quantum computer is ... As for its theory, he argues against the claims that this is a new field founded in the 1990s. This point of view relies on the ... Closed Timelike Curves Make Quantum and Classical Computing Equivalent [2] There have been some claims to this effect; see Tien ...
... application of field theory techniques to condensed matter physics; quantum theory of black holes; see e.g the application of ... Wilczek, F. (1999). "Quantum field theory". Reviews of Modern Physics. 71 (2): S85-S95. arXiv:hep-th/9803075. Bibcode:1999RvMPS ... Still to this day I think the quantum theory of angular momentum is one of the absolute pinnacles of human achievement. Just ... The theory, which was independently discovered by H. David Politzer, was important for the development of quantum ...
Quantum Field Theory. McGraw-Hill. ISBN 9780070320710. R.J. Rivers (1990). Path Integral Methods in Quantum Field Theories. ... Today they provide a non-perturbative approach to quantum field theories and applications can be found in many fields of ... V.P. Nair (2005). Quantum Field Theory A Modern Perspective. Springer. There are some review article about applications of the ... Articles with short description, Short description matches Wikidata, Articles with GND identifiers, Quantum field theory, ...
... theory is largely an extension of classical information theory to quantum systems. Classical information is ... Quantum clock Quantum entanglement Quantum foundations Quantum information science Quantum statistical mechanics Qubit Qutrit ... International Journal of Quantum Information npj Quantum Information Quantum Quantum Information & Computation Quantum ... QEC is used in quantum computing to protect quantum information from errors due to decoherence and other quantum noise. Quantum ...
In quantum information theory, quantum discord is a measure of nonclassical correlations between two subsystems of a quantum ... Quantum discord has been studied in quantum many-body systems. Its behavior reflects quantum phase transitions and other ... In mathematical terms, quantum discord is defined in terms of the quantum mutual information. More specifically, quantum ... Quantum discord is in some ways different from quantum entanglement. Quantum discord is more resilient to dissipative ...
"Quantum phase transitions in spins systems and the high temperature limit of continuum quantum field theories". arXiv:cond-mat/ ... The quantum rotor model is a mathematical model for a quantum system. It can be visualized as an array of rotating electrons ... Heisenberg model (quantum) Ising model Sachdev, Subir (1999). Quantum Phase Transitions. Cambridge University Press. ISBN 978-0 ... Although elementary quantum rotors do not exist in nature, the model can describe effective degrees of freedom for a system of ...
Scully, Marlan O.; Zubairy, M. Suhail (1997). "Quantum Theory of Radiation". Quantum optics (6. printing. ed.). New York: ... The test was overseen and conducted by a small team of scientists led by Ahmad, while calculations on quantum oscillator was ... In 1998, Ahmad visited Canada to deliver lecture on quantum physics at the Montreal Laboratory when the news of surprise ... and its relative extension to the quantum electrodynamics, while working as senior research scientist at the CERN in the 1960s ...
Chaos theory, Quantum mechanics, Quantum chaos theory). ... However, classical-quantum correspondence in chaos theory is ... Closed-orbit theory was developed by J.B. Delos, M.L. Du, J. Gao, and J. Shaw. It is similar to periodic-orbit theory, except ... Quantum chaos is a branch of physics which studies how chaotic classical dynamical systems can be described in terms of quantum ... Kos, Pavel; Ljubotina, Marko; Prosen, Tomaž (2018-06-08). "Many-Body Quantum Chaos: Analytic Connection to Random Matrix Theory ...