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Quantum damped oscillator in a magnetic field

Author

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  • Dodonov, V.V.
  • Manko, O.V.

Abstract

The problem of the quantal description of multidimensional nonhamiltonian systems with linear classical equations of motion is solved in the framework of the Fokker-Planck equation for the Wigner function. The conditions ensuring the preservation of the normalization, hermiticity, and positive definiteness of the density operator are established. The two-dimensional damped isotropic quantal oscillator in a uniform magnetic field is considered in detail, and the single analytic description suitable for arbitrary values of the damping coefficient, the frequencies and temperature is obtained.

Suggested Citation

  • Dodonov, V.V. & Manko, O.V., 1985. "Quantum damped oscillator in a magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 130(1), pages 353-366.
    • Handle: RePEc:eee:phsmap:v:130:y:1985:i:1:p:353-366
    DOI: 10.1016/0378-4371(85)90111-6
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    Cited by:

    1. Li, X.L. & O'Connell, R.F., 1996. "Green's function and position correlation function for a charged oscillator in a heat bath and a magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(3), pages 639-668.

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