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Quantum statistical effects of the motion of an oscillator interacting with a radiation field

Author

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  • Braun, E.
  • Godoy, S.V.

Abstract

The motion of a quantum oscillator interacting with a quantized radiation field is studied. The exact solution shows that the motion of the oscillator is described by a Langevin-type equation in which the friction and the effective frequency depend on time. The physical conditions under which these properties become constant are studied. The stochastic force becomes a gaussian process and in the limit of long times and weak coupling, has an autocorrelation function with the usual delta behavior.

Suggested Citation

  • Braun, E. & Godoy, S.V., 1977. "Quantum statistical effects of the motion of an oscillator interacting with a radiation field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 86(2), pages 337-354.
    • Handle: RePEc:eee:phsmap:v:86:y:1977:i:2:p:337-354
    DOI: 10.1016/0378-4371(77)90034-6
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    Cited by:

    1. Godoy, S.V. & Braun, E., 1978. "Long time limit of correlation functions between massless modes interacting with a quantum oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(1), pages 245-254.
    2. Eckhardt, W., 1987. "On the consistent description of quantum relaxation processes: The harmonic oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 141(1), pages 81-110.

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