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 Białynicki -- Birula scalar product $⟨{\mathbf{\Psi }}_1|{\mathbf{\Psi }}_2{⟩}_{BB}$ and the generalized Hermitian conjugation ${\hat{\gamma }}^{++}$ of linear operator $\hat{\gamma }$ are discussed. Quantum description of light on a phase space is developed. A photon Wigner function is built.

37 pages

References in corpus (4)

• Position, spin and orbital angular momentum of a relativistic electron
• Quantum-mechanical description of optical beams
• The Weyl-Wigner-Moyal formalism on a discrete phase space. I. A Wigner function for a nonrelativistic particle with spin
• The Wigner function in the relativistic quantum mechanics

Cited by in corpus (3)

• The geometrical interpretation of the photon position operator
• Construction of a photon position operator with commuting components from natural axioms
• Curvature and conformal curvature dynamics formalisms and their applications in linearized gravity