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Journal of Russian Laser Research

Probability Representation of Kinetic Equations for Open Quantum Systems

Vladimir I. Man’ko, V. A. Sharapov, E. V. Shchukin

Published Mar 1, 2003• 5 citations
Publisher
DOI
10.1023/a:1023637615505

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•Jan 1, 2001•0 citations
Master equation for density matrix of an open many–particle system is derived in the occupation number representation. The Born approximation with respect to system–bath interaction is utilized and the fast relaxation within the system is assumed to be fulfiled. The reduction of a linear master equation to a nonlinear set of kinetic equations for one–particle distribution functions is carried out at the condition of strong particle–particle interaction. As an example, the procedure of derivation of kinetic equations for description of electron transfer through specific molecular nanostructures like molecular wires is demonstrated with taking into consideration the strong Coulomb repulsion between the transferred electrons.