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Semiclassical spectral series of a Hartree-type operator corresponding to a rest point of the classical Hamilton-Ehrenfest system

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Abstract

We consider the classical equations of motion in quantum means, i.e., the Hamilton-Ehrenfest system. In the semiclassical approximation in the framework of the covariant approach based on these equations, we construct the spectral series of a nonlinear Hartree-type operator corresponding to a rest point.

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Authors and Affiliations

  1. Moscow Institute of Electronics and Mathematics, Moscow, Russia

    V. V. Belov

  2. Tomsk Polytechnical University, Tomsk, Russia

    F. N. Litvinets & A. Yu. Trifonov

Authors
  1. V. V. Belov
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  2. F. N. Litvinets
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  3. A. Yu. Trifonov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 150, No. 1, pp. 26–40, January, 2007.

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Belov, V.V., Litvinets, F.N. & Trifonov, A.Y. Semiclassical spectral series of a Hartree-type operator corresponding to a rest point of the classical Hamilton-Ehrenfest system. Theor Math Phys 150, 21–33 (2007). https://doi.org/10.1007/s11232-007-0003-6

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  • DOI: https://doi.org/10.1007/s11232-007-0003-6

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