Structure of the semiempirical relaxation operator in quantum Liuville equation at simulation ESR spectra of Zn-P two-spin system in Si

Abstract

In this paper we prepose to enter the semiempirical relaxation operator (four-index relaxation matrix Rmjkn) in Liuville quantum equation at simulation ESR spectra of Zn-P two-spin system in a Si. Introduction of this operator allows us to expand application of Liuville equation to nonequilibrium processes. Particularly it was made to processes of absorption by Zn-P two-spin system of the superfluous micrometer-wave quantums at presence of its interaction with Si environment. The semiempirical relaxation operator Rmjkn = vmjPkn + Pmjvkn contains of transitions requencies Vmn and functions overlap Pmn in spin system. Imaginary frequencies of transition ±Hmn are replaced on real Vmn, and discrete δ-function δmn - on overlap function Pmn as result of stochastic interaction paramagnetic Zn-P systems with Si environment and an absorbed μ-wave quantums.