###### Old **quantum** **theory**

The old

**quantum****theory**is a collection of results from the years 1900-1925 which predate modern**quantum**mechanics. The**theory**... The old**quantum****theory**had some limitations: The old**quantum****theory**provides no means to calculate the intensities of the ... The**theory**is now understood as the semi-classical approximation to modern**quantum**mechanics. The main tool of the old**quantum**... It was later proposed that the old**quantum****theory**is in fact the semi-classical approximation to the canonical**quantum**...###### List of mathematical topics in **quantum** **theory**

...

**quantum**computing qubit pure qubit state**quantum**dot Kane**quantum**computer**quantum**cryptography**quantum**decoherence**quantum**... picture Hilbert space Interaction picture Measurement in**quantum**mechanics**quantum**field**theory****quantum**logic**quantum**operation ... spin network black hole thermodynamics**Quantum**group Hopf algebra Noncommutative**quantum**field**theory**See list of string**theory**... This is a list of mathematical topics in**quantum****theory**, by Wikipedia page. See also list of functional analysis topics, list ...###### The Physical Principles of the **Quantum** **Theory**

... Google Scholar. 2013-09-07 Popper, Karl Raimund (1989).

**Quantum****Theory**and the ... including**quantum****theory**, Heisenberg discusses the basis for the fundamental concepts of**quantum****theory**. Also by this time ... 1) an Outline of Wave Mechanics (2) the Physical Principles of the**Quantum****Theory**(3)**Quantum**Chemistry: A Short Introduction ... 1949) [1930]. The physical principles of the**quantum****theory**. Translators Eckart, Carl; Hoyt, F.C. Dover. pp. 1-39. ISBN ...###### **Quantum** complexity **theory**

... is a part of computational complexity

**theory**in theoretical computer science. It studies complexity ... Similarly, one may define a**quantum**complexity class using a**quantum**model of computation, such as a standard**quantum**computer ... One of the main aims of**quantum**complexity**theory**is to find out where these classes lie with respect to classical complexity ... Two important**quantum**complexity classes are BQP and QMA which are the bounded-error**quantum**analogues of P and NP. ...###### **Quantum** game **theory**

... is an extension of classical game

**theory**to the**quantum**domain. It differs from classical game**theory**in ...**Quantum**tic tac toe: not a**quantum**game in the sense above, but a pedagogical tool based on metaphors for**quantum**mechanics ... 83 (1999) 3077-3080,**Quantum**Games and**Quantum**Strategies N. F. Johnson, Playing a**Quantum**Game with a Corrupted Source L. ...**Quantum**Games: States of Play, Nature (2007), Navroz Patel Scholar Google profile of**Quantum**Game**Theory**Scholar Google's list ...###### **Quantum** field **theory**

In fact most topics in the early development of

**quantum****theory**(the so-called old**quantum****theory**, 1900-25) were related to the ...**Quantum**field**theory**of the fundamental forces itself has been postulated to be the low-energy effective field**theory**limit of ...**Quantum**field**theory**started with a theoretical framework that was built in analogy to**quantum**mechanics. Although there was no ...**Quantum**field**theory**relies on the Lagrangian formalism from classical field**theory**. This formalism is analogous to the ...###### **Quantum** gauge **theory**

In

**quantum**physics, in order to quantize a gauge**theory**, like for example Yang-Mills**theory**, Chern-Simons**theory**or the BF ... Dynin, A. (January 2017). "Mathematical**quantum**Yang-Mills**theory**revisited". Russian Journal of Mathematical Physics. 24: 26- ... To establish the existence of the Yang-Mills**theory**and a mass gap is one of the seven Millennium Prize Problems of the Clay ... A positive esimate from below of the mass gap in the spectrum of**quantum**Yang-Mills Hamiltonian has been already established. ...###### Perturbation **theory** (**quantum** mechanics)

Perturbation

**theory**is an important tool for describing real**quantum**systems, as it turns out to be very difficult to find ... In**quantum**mechanics, perturbation**theory**is a set of approximation schemes directly related to mathematical perturbation for ... In the**theory**of**quantum**electrodynamics (QED), in which the electron-photon interaction is treated perturbatively, the ... In QED and other**quantum**field**theories**, special calculation techniques known as Feynman diagrams are used to systematically ...###### Transformation **theory** (**quantum** mechanics)

Dirac in his early formulation of

**quantum****theory**, from around 1927. This "transformation" idea refers to the changes a**quantum**... Time evolution,**quantum**transitions, and symmetry transformations in**Quantum**mechanics may thus be viewed as the systematic ... Dirac, P. A. M. (1930). The Principles of**Quantum**Mechanics, Cambridge University Press Prugovecki, Eduard (2006).**Quantum**...**theory**of abstract, generalized rotations in this space of**quantum**state vectors. Remaining in full use today, it would be ...###### Topological **quantum** field **theory**

A topological

**quantum**field**theory**(or topological field**theory**or TQFT) is a**quantum**field**theory**which computes topological ... topological string**theory**, the relationship between knot**theory**and**quantum****theory**, and**quantum**knot invariants. Furthermore, ... 1 conformal**theory**instead of coupling d = 2**theory**to d = 0. This**theory**has been developed as the Jones-Witten**theory**and ... The space Z(M) is the Hilbert space of the**quantum****theory**and a physical**theory**, with a Hamiltonian H, will have an time ...###### Axiomatic **quantum** field **theory**

... is a mathematical discipline which aims to describe

**quantum**field**theory**in terms of rigorous ... Introduction to Axiomatic**Quantum**Field**Theory**, Benjamin Reading, Massachusetts, 1975. H. Araki, Mathematical**Theory**of**Quantum**... The first set of axioms for**quantum**field**theories**, known as the Wightman axioms, were proposed by Arthur Wightman in the early ... "**quantum**field**theory**". Then, one gives rigorous mathematical constructions of examples satisfying these axioms. ...###### Constructive **quantum** field **theory**

In mathematical physics, constructive

**quantum**field**theory**is the field devoted to showing that**quantum****theory**is ... probability**theory**, representation**theory**, geometry, and topology. It is known that a**quantum**field is inherently hard to ... called algebraic**quantum**field**theory**. There is a firm belief in the physics community that the gauge**theory**of Yang and Mills ... Attempts to put**quantum**field**theory**on a basis of completely defined concepts have involved most branches of mathematics, ...###### Local **quantum** field **theory**

... algebra

**theory**. Because of this it is also known as algebraic**quantum**field**theory**(AQFT). The axioms are stated in terms of an ... More recently, the approach has been further implemented to include an algebraic version of**quantum**field**theory**in curved ... The Haag-Kastler axiomatic framework for**quantum**field**theory**, introduced by Haag and Kastler (1964), is an application to ... of local**quantum**physics is in particular suitable to generalize the renormalization procedure to the**theory**of**quantum**fields ...###### Thermal **quantum** field **theory**

In theoretical physics, thermal

**quantum**field**theory**(thermal field**theory**for short) or finite temperature field**theory**is a ... doi:10.1016/0370-1573(87)90121-9. A.J. Niemi, G.W. Semenoff (1984). "Finite Temperature**Quantum**Field**Theory**in Minkowski Space ... H. Chiu; H. Umezawa (1993). "A unified formalism of thermal**quantum**field**theory**". International Journal of Modern Physics A. 9 ... Jean Zinn-Justin (2002).**Quantum**Field**Theory**and Critical Phenomena. Oxford University Press. ISBN 978-0-19-850923-3. T.S. ...###### Noncommutative **quantum** field **theory**

In mathematical physics, noncommutative

**quantum**field**theory**(or**quantum**field**theory**on noncommutative spacetime) is an ... An expository article on noncommutative**quantum**field**theories**. Noncommutative**quantum**field**theory**, see statistics on arxiv. ... The implication is that a**quantum**field**theory**on noncommutative spacetime can be interpreted as a low energy limit of the ... Szabo, R. (2003) "**Quantum**Field**Theory**on Noncommutative Spaces," Physics Reports 378: 207-99. ...###### Partition function (**quantum** field **theory**)

Matthew D. Schwartz,

**Quantum**Field**Theory**and the Standard Model, 2013, Ch. 14 Matthew D. Schwartz,**Quantum**Field**Theory**and ... This i points to a deep connection between**quantum**field**theory**and the statistical**theory**of fields. This connection can be ... In**quantum**field**theory**, the partition function Z [ J ] {\displaystyle Z[J]} is the generating functional of all correlation ... The partition function in**quantum**field**theory**is a special case of the mathematical partition function, and is related to the ...###### History of **quantum** field **theory**

Algebraic

**quantum**field**theory**Axiomatic**quantum**field**theory**Topological**quantum**field**theory**(TQFT) History of**quantum**...**Quantum**field**theory**originated in the 1920s from the problem of creating a**quantum**mechanical**theory**of the electromagnetic ... QED, and indeed, all field**theories**, were generalized to a class of**quantum**field**theories**known as gauge**theories**. That ... Moreover, it has not been established that a**theory**of**quantum**gravity is necessary (see**Quantum**field**theory**in curved ...###### Correlation function (**quantum** field **theory**)

An Introduction to

**Quantum**Field**Theory**. Addison-Wesley. Alexander Altland, Ben Simons (2006). Condensed Matter Field**Theory**. ... In**quantum**field**theory**, the (real space) n-point correlation function is defined as the functional average (functional ... Schroeder, Daniel V. and Michael Peskin, An Introduction to**Quantum**Field**Theory**. Addison-Wesley.. ... In the free**theory**, it is simply the Feynman propagator (for n=2). Connected correlation function One particle irreducible ...###### Form factor (**quantum** field **theory**)

online article Structure function

**Quantum**field**theory**Standard model**Quantum**mechanics Special relativity Photon Structure ... Brown, Lowell S. (1994).**Quantum**Field**Theory**. Cambridge University Press. ISBN 978-0-521-46946-3. p 400 Gasiorowicz, Stephen ( ... In elementary particle physics and mathematical physics, in particular in effective field**theory**, a form factor is a function ... It is further measured experimentally in confirmation or specification of a**theory**-see experimental particle physics. For ...###### Common integrals in **quantum** field **theory**

In

**quantum**field**theory**n-dimensional integrals of the form ∫ − ∞ ∞ exp ( − 1 ℏ f ( q ) ) d n q {\displaystyle \int _{-\infty ... The first integral, with broad application outside of**quantum**field**theory**, is the gaussian integral. G ≡ ∫ − ∞ ∞ e − 1 2 x 2 d ... There are common integrals in**quantum**field**theory**that appear repeatedly. These integrals are all variations and ... Relation between Schrödinger's equation and the path integral formulation of**quantum**mechanics A. Zee (2003).**Quantum**Field ...###### **Quantum** Field **Theory** in a Nutshell

... is a textbook by Anthony Zee covering

**quantum**field**theory**. The book has been adopted by ... "**Quantum**Field**Theory**in a Nutshell". Princeton University Press. Retrieved 2017-10-04. "**Quantum**Field**Theory**in a Nutshell , ... Peskin, Michael E. (2011). "**Quantum**Field**Theory**in a Nutshell (2nd edn)". Classical and**Quantum**Gravity. 28 (8): 089003. doi: ... Michael Peskin's review in Classical and**Quantum**Gravity said, "This is**quantum**field**theory**taught at the knee of an eccentric ...###### **Quantum** field **theory** in curved spacetime

History of

**quantum**field**theory**Local**quantum**field**theory**Statistical field**theory**Topological**quantum**field**theory****Quantum**... The**theory**of**quantum**field**theory**in curved spacetime can be considered as a first approximation to**quantum**gravity. A second ...**Quantum**field**theory**in curved space-time and black hole thermodynamics. Chicago U. (1995). L. H. Ford.**Quantum**Field**Theory**in ... In particle physics,**quantum**field**theory**in curved spacetime is an extension of standard, Minkowski space**quantum**field**theory**...###### Observer (special relativity)

... such as

**quantum**mechanics, and information**theory**. See for example, Schrödinger's cat and Maxwell's demon. In general ... In**quantum**mechanics, "observation" is synonymous with**quantum**measurement and "observer" with a measurement apparatus and ... ISBN 0-387-95210-1. Richard L. Faber (1983). Differential Geometry and Relativity**Theory**: an introduction. CRC Press. p. 134. ... ISBN 1-58488-363-4. Oliver Davis Johns (2005). Analytical Mechanics for Relativity and**Quantum**Mechanics. Oxford University ...###### List of **quantum** field **theories**

... sigma model Phi to the fourth

**Quantum**chromodynamics**Quantum**electrodynamics**Quantum**flavordynamics**Quantum**Yang-Mills**theory**... This is a list of**quantum**field**theories**. Chern-Simons model Chiral model Gross-Neveu Kondo model Lower-dimensional**quantum**... Schwinger model Sine-Gordon Standard model String**Theory**Thirring model Toda field**theory**Topological**quantum**field**theory**Wess ... field**theory**Minimal model Nambu-Jona-Lasinio Noncommutative**quantum**field**theory**Nonlinear ...