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
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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Theoretical and Mathematical Physics, 1990, 85:1, 1072–1081
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
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\by N.~U.~Nazarov, O.~A.~Ponomarev
\paper Quantum dynamics of~transitions in~two-level electron--phonon systems with strong interactions
\jour Theoret. and Math. Phys.
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