The Weyl -- Wigner -- Moyal Formalism on a Discrete Phase Space. II. The Photon Wigner Function
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 Biał 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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2020
- DOI:
- 10.48550/arXiv.2006.12833
- arXiv:
- arXiv:2006.12833
- Bibcode:
- 2020arXiv200612833P
- Keywords:
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- Quantum Physics;
- 81S30
- E-Print:
- 37 pages