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Wigner functions of quadratic systems

Author

Listed:
  • Akhundova, E.A.
  • Dodonov, V.V.
  • Man'ko, V.I.

Abstract

The explicit expressions for the Green functions of quantum systems with nonstationary Hamiltonians which are general quadratic forms with respect of coordinates and momenta are obtained in the mixed (Wigner's) representation.

Suggested Citation

  • Akhundova, E.A. & Dodonov, V.V. & Man'ko, V.I., 1982. "Wigner functions of quadratic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(1), pages 215-231.
    • Handle: RePEc:eee:phsmap:v:115:y:1982:i:1:p:215-231
    DOI: 10.1016/0378-4371(82)90137-6
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    References listed on IDEAS

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    1. Jannussis, A. & Filipakis, P. & Filipakis, Th., 1980. "Quantum friction in phase space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 102(3), pages 561-567.
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    Cited by:

    1. Dodonov, V.V. & Horovits, M.B., 2021. "Change of energy and magnetic moment of a quantum charged particle after a fast jump of the magnetic field in solenoids of arbitrary cross sections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).
    2. López-Saldívar, Julio A., 2023. "Differential formalism and the thermodynamic description of multimode Gaussian equilibrium states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).

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