Nonstationary Oscillator in Quantum Mechanics

  • Vladimir I. Man’ko
Conference paper

Abstract

We give the theory of the quantum oscillator with time-dependent parameters. Time-dependent integrals of motion are shown to play an important role in the approach. We give the application to the nonstationary Casimir effect as a basis for constructing the generator of squeezed light (resonator with moving walls) or squeezed current (parametric Josephson junction).

Keywords

Eter Refraction 

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References

  1. [1]
    M. Moshinsky, The Harmonic Oscillator in Modern Physics: From Atoms to Quarks (Gordon & Breach, London, 1969).Google Scholar
  2. [2]
    I.A. Malkin, V.I. Man’ko, and D.A. Trifonov, Phys. Rev., 20, 1371 (1970).Google Scholar
  3. [3]
    I.A. Malkin and V.I. Man’ko, Dynamical Symmetries and Coherent States of Quantum Mechanics (in Russian; Nauka, Moscow, 1979).Google Scholar
  4. [4]
    I.A. Malkin and V.I. Man’ko, Phys. Lett. A32, 243 (1970).ADSGoogle Scholar
  5. [5]
    K. Husimi, Progr. Theor. Phys. 9, 381 (1953).CrossRefADSMathSciNetGoogle Scholar
  6. [6]
    H.R. Lewis, and W. Riesenfeld, J. Math. Phys. 10, 312 (1968).MathSciNetGoogle Scholar
  7. [7]
    V.V. Dodonov and V.I. Man’ko, P.N. Lebedev Institute Proceedings, Vol. 183 (1989).Google Scholar
  8. [8]
    R. Glauber, Phys. Rev. Lett. 10, 84 (1963).CrossRefADSMathSciNetGoogle Scholar
  9. [9]
    E. Schrödinger, Per. Kgl. Akad. Wiss., Berlin (1930) p. 296.Google Scholar
  10. [10]
    V.V. Dodonov, E.V. Kurmyshev, and V.I. Man’ko, Phys. Lett. 79A, 150 (1980).ADSMathSciNetGoogle Scholar
  11. [11]
    P. Caldirola, N. Cimento., 18, 393 (1941).CrossRefGoogle Scholar
  12. [12]
    H. Walter, Hyderabad Conference Proceedings on Quantum Optics (Plenum Press, New York, 1991).Google Scholar
  13. [13]
    A. Yablonovich, Cortina d’Ampezzo NATO Conference Proceedings. Ed. by P. Tombesi (Plenum Press, New York, 1991).Google Scholar
  14. [14]
    V.V. Dodonov, O.V. Man’ko, and V.I. Man’ko, J. Soviet Laser Research, Vol. 10, W5 (1989).Google Scholar
  15. [15]
    G. Karner, V.I. Man’ko, and L. Streit, On the Theory of Quantum Kicks. Preprint Bilios 399/89 (1989).Google Scholar
  16. [16]
    W. Schleich, and A. Wheeler, J. Opt. Soc. Am. B4, 1715 (1987).ADSGoogle Scholar
  17. [17]
    V.V. Dodonov, A.B. Klimov, and V.I. Man’ko, Phys. Lett. 149A, 225 (1990).ADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Vladimir I. Man’ko
    • 1
  1. 1.P.N. Lebedev Institute of PhysicsMoscowUSSR

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