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

S. N. Dobryakov; V. V. Privezentsev

doi:10.1117/12.683124

31 May 2006 Structure of the semiempirical relaxation operator in quantum Liuville equation at simulation ESR spectra of Zn-P two-spin system in Si

S. N. Dobryakov, V. V. Privezentsev

Author Affiliations +

Proceedings Volume 6264, Quantum Informatics 2005; 62640G (2006) https://doi.org/10.1117/12.683124
Event: Quantum Informatics 2005, 2005, Moscow, Russian Federation

Abstract

In this paper we prepose to enter the semiempirical relaxation operator (four-index relaxation matrix R_mjkn) 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 R_mjkn = v_mjP_kn + P_mjv_kn contains of transitions requencies V_mn and functions overlap P_mn in spin system. Imaginary frequencies of transition ±H_mn are replaced on real V_mn, and discrete δ-function δ_mn - on overlap function P_mn as result of stochastic interaction paramagnetic Zn-P systems with Si environment and an absorbed μ-wave quantums.

Citation Download Citation

S. N. Dobryakov and V. V. Privezentsev "Structure of the semiempirical relaxation operator in quantum Liuville equation at simulation ESR spectra of Zn-P two-spin system in Si", Proc. SPIE 6264, Quantum Informatics 2005, 62640G (31 May 2006); https://doi.org/10.1117/12.683124

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