{"title":"Si中Zn-P双自旋体系ESR谱模拟中量子Liuville方程半经验弛豫算子的结构","authors":"S. Dobryakov, V. Privezentsev","doi":"10.1117/12.683124","DOIUrl":null,"url":null,"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.","PeriodicalId":90714,"journal":{"name":"Quantum bio-informatics V : proceedings of the quantum bio-informatics 2011, Tokyo University of Science, Japan, 7-12 March 2011. Quantum Bio-Informatics (Conference) (5th : 2011 : Tokyo, Japan)","volume":"17 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2006-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Structure of the semiempirical relaxation operator in quantum Liuville equation at simulation ESR spectra of Zn-P two-spin system in Si\",\"authors\":\"S. Dobryakov, V. Privezentsev\",\"doi\":\"10.1117/12.683124\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":90714,\"journal\":{\"name\":\"Quantum bio-informatics V : proceedings of the quantum bio-informatics 2011, Tokyo University of Science, Japan, 7-12 March 2011. Quantum Bio-Informatics (Conference) (5th : 2011 : Tokyo, Japan)\",\"volume\":\"17 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-05-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quantum bio-informatics V : proceedings of the quantum bio-informatics 2011, Tokyo University of Science, Japan, 7-12 March 2011. Quantum Bio-Informatics (Conference) (5th : 2011 : Tokyo, Japan)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1117/12.683124\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quantum bio-informatics V : proceedings of the quantum bio-informatics 2011, Tokyo University of Science, Japan, 7-12 March 2011. Quantum Bio-Informatics (Conference) (5th : 2011 : Tokyo, Japan)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1117/12.683124","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Structure of the semiempirical relaxation operator in quantum Liuville equation at simulation ESR spectra of Zn-P two-spin system in Si
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.