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Quantum distributions for the plane rotator

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  • Grigorescu, Marius

Abstract

Quantum phase-space distributions (Wigner functions) for the plane rotator are defined using wave functions expressed in both angle and angular momentum representations, with emphasis on the quantum superposition between the Fourier dual variable and the canonically conjugate coordinate. The standard quantization condition for angular momentum appears as necessary for consistency. It is shown that at finite temperature the time dependence of the quantum wave functions may provide classical sound waves. Non-thermal quantum entropy is associated with localization along the orbit.

Suggested Citation

  • Grigorescu, Marius, 2019. "Quantum distributions for the plane rotator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 313-318.
    • Handle: RePEc:eee:phsmap:v:519:y:2019:i:c:p:313-318
    DOI: 10.1016/j.physa.2018.12.021
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    1. Grigorescu, Marius, 2008. "Classical probability waves," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6497-6504.
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    Cited by:

    1. Grigorescu, M., 2021. "Quantum distributions for the electromagnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).

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