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 and the generalized Hermitian conjugation of linear operator 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.

中文翻译：

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离散相空间上的Weyl – Wigner – Moyal形式主义。二。光子威格纳函数

提出了螺旋度形式主义中的古典光模型。然后提出了光子的量子力学观点-提出了两个等效光子波函数的构造和解释。研究了光子的量子力学。讨论了Białynicki– Birula标量积和线性算子的广义Hermitian共轭。基于Weyl-Wigner-Moyal方法，研究了相空间上光的量子描述。建立了光子维格纳函数。获得了一些针对不同内核的显式光子Wigner函数。