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Caldirola-kanai oscillator in the classical formulation of quantum mechanics

  • VIII International Conference on Symmetry Methods in Physics Dedicated to the 80th Anniversary of the Birth of Professor Ya. A. Smorodinsky (1917–1992) Dubna, Russia, July 28–August 8, 1997
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Abstract

The quadrature distribution for a quantum damped oscillator is introduced in the frame of formulation of quantum mechanics based on a tomography scheme. The probability distribution for coherent and Fock states of the damped oscillator is expressed explicitly in terms of Gaussian and Hermite polynomials, respectively.

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References

  1. V. I. Man’ko and S. S. Safonov, Teor. Mat. Fiz. 112, 467 (1997).

    MathSciNet  Google Scholar 

  2. P. Caldirola, Nuovo Cimento 18, 393 (1941).

    MATH  Google Scholar 

  3. E. Kanai, Prog. Theor. Phys. 3, 440 (1948).

    Google Scholar 

  4. J. E. Moyal, Proc. Cambridge Philos. Soc. 45, 99 (1949).

    MATH  MathSciNet  Google Scholar 

  5. E. Wigner, Phys. Rev. 40, 749 (1932).

    Article  ADS  MATH  Google Scholar 

  6. S. Mancini, V. I. Man’ko, and P. Tombesi, Phys. Lett. A 213, 1 (1996); Found. Phys. (in press).

    Article  ADS  MathSciNet  Google Scholar 

  7. K. Vogel and H. Risken, Phys. Rev. A 40, 2847 (1989).

    ADS  Google Scholar 

  8. V. I. Man’ko, J. Russ. Laser Res. 17, 579 (1996).

    Google Scholar 

  9. V. I. Man’ko, J. Russ. Laser Res. 17, 439 (1996).

    Google Scholar 

  10. V. V. Dodonov and V. I. Man’ko, Phys. Rev. A 20, 550 (1979).

    Article  ADS  Google Scholar 

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From Yadernaya Fizika, Vol. 63, No. 4, 2000, pp. 757–759.

Original English Text Copyright © 2000 by Safonov.

This article was submitted by the author in English.

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Safonov, S.S. Caldirola-kanai oscillator in the classical formulation of quantum mechanics. Phys. Atom. Nuclei 63, 692–694 (2000). https://doi.org/10.1134/1.855692

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  • DOI: https://doi.org/10.1134/1.855692

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