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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⟨   Ψ  1   |   Ψ  2   ⟩    B  Band the generalized Hermitian conjugationγ  ̂    +  +of linear operator    γ  ̂    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.

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