{"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}
引用次数: 0
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.