Journal of Modern Physics

Volume 5, Issue 14 (August 2014)

ISSN Print: 2153-1196   ISSN Online: 2153-120X

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Variational Principle in the Quantum Statistical Theory

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DOI: 10.4236/jmp.2014.514128    2,403 Downloads   2,945 Views  


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.

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Arinshteyn, E. (2014) Variational Principle in the Quantum Statistical Theory. Journal of Modern Physics, 5, 1272-1287. doi: 10.4236/jmp.2014.514128.

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