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arXiv · 2006.12833

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

Maciej Przanowski·Jaromir Tosiek·Francisco J. Turrubiates
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Abstract

Classical model of light in helicity formalism is presented. Then quantum point of view at photons -- construction and interpretation of photon wave function is proposed. Quantum mechanics of photon is investigated. The Bia\l ynicki -- Birula scalar product $\langle {\bf \Psi}_{1}|{\bf \Psi}_{2}\rangle_{BB}$ and the generalized Hermitian conjugation $\widehat{\gamma}^{+\hspace{-0.45em}+}$ of linear operator $\widehat{\gamma}$ are discussed. Quantum description of light on a phase space is developed. A photon Wigner function is built.

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Maciej Przanowski, Jaromir Tosiek, Francisco J. Turrubiates. 2020-06-23. The Weyl -- Wigner -- Moyal Formalism on a Discrete Phase Space. II. The Photon Wigner Function. https://doi.org/10.1002/prop.202000061

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