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Variational Principle in the Quantum Statistical Theory

Variational Principle in the Quantum Statistical Theory
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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. 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.
出处 《Journal of Modern Physics》 2014年第14期1272-1287,共16页 现代物理(英文)
关键词 GENERATING Functional Density MATRICES CORRELATIONS IRREDUCIBLE Part VARIATIONAL Method Generating Functional Density Matrices Correlations Irreducible Part Variational Method
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