{"title":"boboliubov正则变换方法中bogoliubov生成泛函方程的解析方面","authors":"N. Bogolubov, A. Prykarpatsky","doi":"10.2478/V10005-007-0015-X","DOIUrl":null,"url":null,"abstract":"The analytic aspects of the Bogoliubov generating functional equations and their transformation properties within the Bogoliubov canonical transformation method are studied. The classical Bogoliubov idea [2] to use the Wigner density operator transformation for studying the non equilibrium distribution functions within the Bogoliubov canonical transformation method is developed, a new analytic non-stationary solution to the classical N.N. Bogoliubov evolution functional equation is constructed.","PeriodicalId":249199,"journal":{"name":"Old and New Concepts of Physics","volume":"63 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"THE ANALYTIC ASPECTS OF THE BOGOLIUBOV GENERATING FUNCTIONAL EQUATIONS WITHIN THE BOBOLIUBOV CANONICAL TRANSFORMATION METHOD\",\"authors\":\"N. Bogolubov, A. Prykarpatsky\",\"doi\":\"10.2478/V10005-007-0015-X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The analytic aspects of the Bogoliubov generating functional equations and their transformation properties within the Bogoliubov canonical transformation method are studied. The classical Bogoliubov idea [2] to use the Wigner density operator transformation for studying the non equilibrium distribution functions within the Bogoliubov canonical transformation method is developed, a new analytic non-stationary solution to the classical N.N. Bogoliubov evolution functional equation is constructed.\",\"PeriodicalId\":249199,\"journal\":{\"name\":\"Old and New Concepts of Physics\",\"volume\":\"63 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Old and New Concepts of Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/V10005-007-0015-X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Old and New Concepts of Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/V10005-007-0015-X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
THE ANALYTIC ASPECTS OF THE BOGOLIUBOV GENERATING FUNCTIONAL EQUATIONS WITHIN THE BOBOLIUBOV CANONICAL TRANSFORMATION METHOD
The analytic aspects of the Bogoliubov generating functional equations and their transformation properties within the Bogoliubov canonical transformation method are studied. The classical Bogoliubov idea [2] to use the Wigner density operator transformation for studying the non equilibrium distribution functions within the Bogoliubov canonical transformation method is developed, a new analytic non-stationary solution to the classical N.N. Bogoliubov evolution functional equation is constructed.