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Quantum mechanics of the inverted Caldirola-Kanai oscillator

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Il Nuovo Cimento B (1971-1996)

Summary

In the present paper we attempt to present some properties of a dissipative system called inverted Caldirola-Kanai oscillator, with real friction coefficient. So we find the exact solution of the time-dependent Schrödi ger equation, the Green’s function, the partition function, the free energy, etc. Furthermore, in the Heisenberg picture, we calculate the annihilation and creation operators which are of Yuen type,i.e. we find the coherent and squeezed states. We also examine the time τ which is needed for the doubling of the initial amplitude, the persistence probability and the sojourn time of the system near unstable equilibrium. Finally we study the effect of scattering, obtaining the final forms of the transmission and reflection amplitudes.

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Authors and Affiliations

  1. Department of Physics, University of Patros, Patras, Greece

    S. Baskoutas & A. Jannussis

  2. Institute for Basic Research, I.B.R., 35682-1577, Palm Harbor, FL, USA

    A. Jannussis

Authors
  1. S. Baskoutas
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  2. A. Jannussis
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Baskoutas, S., Jannussis, A. Quantum mechanics of the inverted Caldirola-Kanai oscillator. Nuov Cim B 107, 255–267 (1992). https://doi.org/10.1007/BF02728488

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  • DOI: https://doi.org/10.1007/BF02728488

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