On some rigorous results in condensed matter theory
https://doi.org/10.34680/2076-8052.2023.5(134).716-726
Abstract
The work contains a critical analysis of the methods and results currently used and applied in the theory of condensed matter. A unified mathematical apparatus has been developed - the method of functional integration which is equally applicable to all main distributions of statistical physics: microcanonical, canonical, and grand canonical ensembles. Within the framework of this method, an exact factorization of the configuration integral with respect to atomic coordinates was performed and a connection between the microcanonical and canonical ensembles was established. It is shown that interatomic interactions can be eliminated by renormalizing external random fields, and random external fields can be eliminated by renormalizing interatomic potentials. A new formulation of problems of equilibrium statistical mechanics as a dynamic field theory with a Hamiltonian depending on temperature is proposed.
About the Authors
A. Yu. Zakharov
Yaroslav-the-Wise Novgorod State University
Russian Federation
Russian Federation
Veliky Novgorod
M. A. Zakharov
Yaroslav-the-Wise Novgorod State University
Russian Federation
Russian Federation
Veliky Novgorod
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Review
For citations:
Zakharov A.Yu., Zakharov M.A. On some rigorous results in condensed matter theory. Title in english. 2023;(5(134)):716-726. (In Russ.) https://doi.org/10.34680/2076-8052.2023.5(134).716-726
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