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

N. Bogolubov, A. Prykarpatsky
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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.
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boboliubov正则变换方法中bogoliubov生成泛函方程的解析方面
研究了Bogoliubov正则变换方法中Bogoliubov生成泛函方程的解析方面及其变换性质。提出了经典Bogoliubov思想[2],利用Wigner密度算子变换研究Bogoliubov正则变换方法中的非平衡分布函数,构造了经典N.N. Bogoliubov演化泛函方程的一个新的解析非平稳解。
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