Variational Principle in the Quantum Statistical Theory

• 作者: Eduard A. Arinshteyn
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: GENERATING Functional Density MATRICES CORRELATIONS IRREDUCIBLE Part VARIATIONAL Method
• 年，卷（期）: xdwlyw_2014,（14）
• 页码范围: 1272-1287
• 页数: 16页
• 分类号: O1

摘要

In the present paper, a generalization of the method of partial summation of the expansion of the thermodynamical potential is proposed. This generalization allows one to obtain the corresponding equations for higher-order correlation matrices, as well as to formulate the variational method for their solution. We show that correlation matrices of equilibrium quantum system satisfy a variational principle for thermodynamic potential which is functional of these matrices that provides a thermodynamic consistency of the theory. This result is similar to a variational principle for correlation functions of classical systems.