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TMF, 1990, Volume 85, Number 1, Pages 89–101 (Mi tmf5933)  

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

Quantum dynamics of transitions in two-level electron–phonon systems with strong interactions

N. U. Nazarov, O. A. Ponomarev


Abstract: The Dyson equation and operators of nonorthogonal projection are used to calculate the frequency dependence of the relaxation coefficients of generalized kinetic equations for a two-level electron–phonon system. It is shown that the relaxation coefficients can be represented in the form of a continued fraction, the parameters of which can be expressed in terms of the Fourier transforms of the many-time correlation functions, these having a real physical meaning as the transition rates at the time $t$ in the second, fourth, etc., orders of perturbation theory. The fraction truncated at the first term in the corresponding limiting cases gives the representations well-known in the literature for the transition rate. The approach is generalized further to calculate the many-time correlation functions in the case of nonlinear electron–phonon coupling.

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English version:
Theoretical and Mathematical Physics, 1990, 85:1, 1072–1081

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Received: 11.03.1990

Citation: N. U. Nazarov, O. A. Ponomarev, “Quantum dynamics of transitions in two-level electron–phonon systems with strong interactions”, TMF, 85:1 (1990), 89–101; Theoret. and Math. Phys., 85:1 (1990), 1072–1081

Citation in format AMSBIB
\Bibitem{NazPon90}
\by N.~U.~Nazarov, O.~A.~Ponomarev
\paper Quantum dynamics of~transitions in~two-level electron--phonon systems with strong interactions
\jour TMF
\yr 1990
\vol 85
\issue 1
\pages 89--101
\mathnet{http://mi.mathnet.ru/tmf5933}
\transl
\jour Theoret. and Math. Phys.
\yr 1990
\vol 85
\issue 1
\pages 1072--1081
\crossref{https://doi.org/10.1007/BF01017249}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1990FK88200009}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. O. A. Ponomarev, A. S. Shigaev, V. D. Lakhno, “A new method for decoupling Bogolyubovs chains for quantum models”, Preprinty IPM im. M. V. Keldysha, 2018, 026, 34 pp.  mathnet  crossref
  •    Theoretical and Mathematical Physics
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