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Quantum distributions for the electromagnetic field

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  • Grigorescu, M.

Abstract

The coherence properties of the classical waves are discussed in terms of the Cauchy problem for the wave equation, and of a discrete representation provided by a lattice of coupled Hamiltonian systems. Wave quanta are related to specific action–angle fields, and phase-space distributions of phonons and photons are obtained by Wigner transform. For photons in a thermal environment, the proposed Wigner function evolves towards the Planck equilibrium distribution. It is shown that the free electromagnetic field can also be found in states of definite helicity, described by a complex vector potential.

Suggested Citation

  • Grigorescu, M., 2021. "Quantum distributions for the electromagnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    • Handle: RePEc:eee:phsmap:v:583:y:2021:i:c:s0378437121005513
    DOI: 10.1016/j.physa.2021.126278
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    References listed on IDEAS

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    1. Grigorescu, Marius, 2019. "Quantum distributions for the plane rotator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 313-318.
    2. Grigorescu, M, 1998. "Decoherence and dissipation in quantum two-state systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 256(1), pages 149-162.
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