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Irreversible behavior of a quantum harmonic oscillator coupled to a heat bath

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  • Braun, E.

Abstract

In this work we analyze descriptions, in several languages, of a quantum mechanical harmonic oscillator interacting with a heat bath consisting of harmonic oscillators. The differences in the languages consist in selecting different variables in terms of which one will describe the dissipation. We consider for the force equation the cases in which the dissipation is proportional to the momentum and to the “velocity” operators. We also analyze the “acceleration” equation. The results are obtained in the rotating wave approximation (RWA), a case in which the momentum and “velocity” operators are not simply related.

Suggested Citation

  • Braun, E., 1985. "Irreversible behavior of a quantum harmonic oscillator coupled to a heat bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 129(2), pages 262-301.
    • Handle: RePEc:eee:phsmap:v:129:y:1985:i:2:p:262-301
    DOI: 10.1016/0378-4371(85)90169-4
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