THE ANALYTIC ASPECTS OF THE BOGOLIUBOV GENERATING FUNCTIONAL EQUATIONS WITHIN THE BOBOLIUBOV CANONICAL TRANSFORMATION METHOD

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.