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TMF, 1986, Volume 68, Number 1, Pages 117–127 (Mi tmf5160)  

This article is cited in 1 scientific paper (total in 1 paper)

Kinetic equations for a dynamical system in a condensed medium and a strong external field

È. G. Petrov


Abstract: Kinetic equations are obtained for the parameters of a quantum dynamical system interacting with structural groups of a condensed medium, which acts as a thermal reservoir. The equations are valid for arbitrary strength of an external (constant and variable) field that acts only on the dynamical system. Approximate kinetic equations valid in the presence of a highfrequency external field are obtained for specific dynamical systems – a two-level system and a quantum rotator. For these same dynamical systems and representation of the medium (thermal reservoir) by a set of harmonic oscillators, the relaxation times of the dynamical system are obtained as functions of the amplitude and frequency of the external field, and also the temperature.

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English version:
Theoretical and Mathematical Physics, 1986, 68:1, 714–721

Bibliographic databases:

Received: 22.04.1985

Citation: È. G. Petrov, “Kinetic equations for a dynamical system in a condensed medium and a strong external field”, TMF, 68:1 (1986), 117–127; Theoret. and Math. Phys., 68:1 (1986), 714–721

Citation in format AMSBIB
\Bibitem{Pet86}
\by \`E.~G.~Petrov
\paper Kinetic equations for a~dynamical system in a~condensed medium and a~strong external field
\jour TMF
\yr 1986
\vol 68
\issue 1
\pages 117--127
\mathnet{http://mi.mathnet.ru/tmf5160}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=875185}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 68
\issue 1
\pages 714--721
\crossref{https://doi.org/10.1007/BF01017801}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1986G092700010}


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  • http://mi.mathnet.ru/eng/tmf/v68/i1/p117

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. È. G. Petrov, V. I. Teslenko, “Kinetic equations for a quantum dynamical system interacting with a thermal reservoir and a random field”, Theoret. and Math. Phys., 84:3 (1990), 986–995  mathnet  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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