The Weyl – Wigner – Moyal Formalism on a Discrete Phase Space. II. The Photon Wigner Function

Maciej Przanowski; Jaromir Tosiek; Francisco J. Turrubiates

doi:10.1002/prop.202000061

The Weyl – Wigner – Moyal Formalism on a Discrete Phase Space. II. The Photon Wigner Function

Maciej Przanowski, Jaromir Tosiek, Francisco J. Turrubiates

Escuela Superior de Física y Matemáticas (ESFM)

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Classical model of light in helicity formalism is presented. Then quantum mechanical point of view at photons – construction and interpretation of two equivalent photon wave functions are proposed. Quantum mechanics of photon is investigated. The Białynicki – Birula scalar product (Formula presented.) and the generalized Hermitian conjugation (Formula presented.) of linear operator (Formula presented.) are discussed. Quantum description of light on a phase space based on the Weyl – Wigner – Moyal approach is developed. A photon Wigner function is built. Some explicit photon Wigner functions for different kernels are obtained.

Translated title of the contribution	El formalismo de Weyl - Wigner - Moyal en un espacio de fase discreto. II. La función de fotones Wigner
Original language	English
Article number	2000061
Journal	Fortschritte der Physik
Volume	69
Issue number	1
DOIs	https://doi.org/10.1002/prop.202000061
State	Published - Jan 2021

Keywords

Wigner function
photon quantum mechanics
quantum mechanics in continuous and discrete phase space

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10.1002/prop.202000061

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abstract = "Classical model of light in helicity formalism is presented. Then quantum mechanical point of view at photons – construction and interpretation of two equivalent photon wave functions are proposed. Quantum mechanics of photon is investigated. The Bia{\l}ynicki – Birula scalar product (Formula presented.) and the generalized Hermitian conjugation (Formula presented.) of linear operator (Formula presented.) are discussed. Quantum description of light on a phase space based on the Weyl – Wigner – Moyal approach is developed. A photon Wigner function is built. Some explicit photon Wigner functions for different kernels are obtained.",

keywords = "Wigner function, photon quantum mechanics, quantum mechanics in continuous and discrete phase space",

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AU - Przanowski, Maciej

AU - Tosiek, Jaromir

AU - Turrubiates, Francisco J.

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Y1 - 2021/1

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AB - Classical model of light in helicity formalism is presented. Then quantum mechanical point of view at photons – construction and interpretation of two equivalent photon wave functions are proposed. Quantum mechanics of photon is investigated. The Białynicki – Birula scalar product (Formula presented.) and the generalized Hermitian conjugation (Formula presented.) of linear operator (Formula presented.) are discussed. Quantum description of light on a phase space based on the Weyl – Wigner – Moyal approach is developed. A photon Wigner function is built. Some explicit photon Wigner functions for different kernels are obtained.

KW - Wigner function

KW - photon quantum mechanics

KW - quantum mechanics in continuous and discrete phase space

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ER -

The Weyl – Wigner – Moyal Formalism on a Discrete Phase Space. II. The Photon Wigner Function

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Keywords

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