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The wave function of the classical parametric oscillator and the tomographic probability of the oscillator’s state

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Journal of Russian Laser Research Aims and scope

Abstract

In view of the description of classical systems using the notion of the wave function of the classical systems suggested in our previous publications, we consider a classical parametric oscillator both in the Hilbert-space representation and the tomographic-probability representation. The time-dependent integrals of motion and Gaussian solutions of the Liouville kinetic equation for the classical-oscillator’s tomograms are found in an explicit form. The Fock states of the classical parametric oscillator and the propagator are studied in the tomographic representation.

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Authors and Affiliations

  1. Faculty of Physics, M. V. Lomonosov Moscow State University, Vorob’evy Gory, Moscow, 119992, Russia

    Vladimir N. Chernega

  2. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow, 119991, Russia

    Vladimir I. Man’ko

Authors
  1. Vladimir N. Chernega
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  2. Vladimir I. Man’ko
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Correspondence to Vladimir N. Chernega.

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Chernega, V.N., Man’ko, V.I. The wave function of the classical parametric oscillator and the tomographic probability of the oscillator’s state. J Russ Laser Res 29, 347–356 (2008). https://doi.org/10.1007/s10946-008-9024-3

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  • DOI: https://doi.org/10.1007/s10946-008-9024-3

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