Quantum-field-theoretical approach to phase–space techniques: Symmetric Wick theorem and multitime Wigner representation

Motivated by some well-known results in the phase space description of quantum optics and quantum information theory, we aim to describe the formalism of quantum field theory by explicitly considering the holomorphic representation for a scalar field within the deformation quantization program. Notably, the symbol of a symmetric ordered operator in terms of holomorphic variables may be straightforwardly obtained by the quantum field analogue of the Husimi distribution associated with a normal ordered operator. This relation also allows to establish a [Formula: see text]-equivalence between the Moyal and the normal star-products. In addition, by writing the density operator in terms of coherent states we are able to directly introduce a series representation of the Wigner functional distribution, which may be convenient in order to calculate probability distributions of quantum field observables without performing formal phase space integrals at all.

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Classical and quantum field-theoretical approach to the non-linear q-Klein-Gordon equation

EPL (Europhysics Letters) ◽

10.1209/0295-5075/116/41001 ◽

2016 ◽

Vol 116 (4) ◽

pp. 41001 ◽

Cited By ~ 5

Author(s):

A. Plastino ◽

M. C. Rocca

Keyword(s):

Theoretical Approach ◽

Gordon Equation ◽

Quantum Field ◽

Non Linear ◽

Klein Gordon ◽

Klein Gordon Equation

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Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. III. A Generalized Wick Theorem and Multitime Mapping

Physical Review D ◽

10.1103/physrevd.2.2206 ◽

1970 ◽

Vol 2 (10) ◽

pp. 2206-2225 ◽

Cited By ~ 149

Author(s):

G. S. Agarwal ◽

E. Wolf

Keyword(s):

Quantum Mechanics ◽

Phase Space ◽

Noncommuting Operators ◽

General Phase ◽

Wick Theorem ◽

Phase Space Methods

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A quantum field theoretical approach to plasmas

Journal of Plasma Physics ◽

10.1017/s0022377800020948 ◽

1977 ◽

Vol 18 (1) ◽

pp. 145-154 ◽

Cited By ~ 3

Author(s):

L. Gomberoff

Keyword(s):

Dispersion Relation ◽

Theoretical Approach ◽

Quantum Electrodynamics ◽

Electromagnetic Waves ◽

Nonlinear Problems ◽

Quantum Field ◽

Homogeneous Plasma ◽

Linear And Nonlinear

By making use of the Feynman–Schwinger formalism of quantum electrodynamics, the classical dispersion relation for electrostatic and electromagnetic waves in a homogeneous plasma is derived. It is then argued that such techniques can be helpful in dealing with quasi-linear and nonlinear problems in plasmas.

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