Abstract
A functional-integration method allowing to treat the damped quantum oscillator in equilibrium without making special choice of the heat-bath Hamiltonian is introduced. Exact results for the damped quantum oscillator calculated recently are shown to represent a special case of the present treatment.
Similar content being viewed by others
References
Riseborough, P.S., Hänggi, P., Weiss, W.: Phys. Rev. A31, 471 (1985)
Caldeira, A.O., Legett, A.J.: Ann. Phys. (NY)149, 374 (1983)
Grabert, H., Weiss, U., Talkner, P.: Z. Phys. B-Condensed Matter55, 87 (1984)
Loos, J.: Phys. Status Solidi (b)114, 319 (1982)
Kubo, R.: Fluctuation, Relaxation and Resonance in Magnetic Systems. ter Haar, D. (ed.), p. 23. Edinburgh: Oliver and Boyd Ltd. 1962
Hamann, D.R.: Phys. Rev. B2, 1373 (1970)
Amit, D.J., Keiter, H.: J. Low Temp. Phys.11, 603 (1973)
Doniach, S., Sondheimer, E.H.: Green's functions for solid state physicists. Reading: W.A. Benjamin, Inc. 1974
Abrikosov, A.A., Gor'kov, L.P., Dzyaloshinskii, I.E.: Methods of quantum field theory in statistical physics. New Jersey: Prentice-Hall, Inc. 1963
Loos, J.: Phys. Status Solidi (b)123, 595 (1984)
Feynman, R.P.: Phys. Rev.84, 108 (1951)
Magnus, W.: Commun. Pure Appl. Math.7, 649 (1954)
Messiah, A.: Quantum mechanics, Vol. 1. Amsterdam: North-Holland Publ. Comp. 1970
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Loos, J. A method of treatment the damped quantum oscillator. Z. Physik B - Condensed Matter 65, 107–111 (1986). https://doi.org/10.1007/BF01308405
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01308405