Geodesic
Quantum dynamics of transitions in two-level electron–phonon systems with strong interactions
Teoretičeskaâ i matematičeskaâ fizika, Tome 85 (1990) no. 1, pp. 89-101 
N. U. Nazarov; O. A. Ponomarev. Quantum dynamics of transitions in two-level electron–phonon systems with strong interactions. Teoretičeskaâ i matematičeskaâ fizika, Tome 85 (1990) no. 1, pp. 89-101. http://geodesic.mathdoc.fr/item/TMF_1990_85_1_a8/
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     title = {Quantum dynamics of~transitions in~two-level electron{\textendash}phonon systems with strong interactions},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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