Abstract:
In [1], a classical statistical theory of a crystal with allowance for the correlations between the motions of its particles was constructed. In the present paper, we consider the quantum case of the statistical thermodynamics of the correlation theory of the crystal state with two-body interaction between particles on the basis of Bogolyubov's method of statistical operators. It is possible to estimate the contribution of the correlation terms and determine the region of applicability of the self-consistent field approximation. The method of statisticaI
operators enables one in conjunction with the variational principle to take into account consistently the correction terms to the basic approximation of multiplicity of the binary density matrix.
Citation:
I. P. Bazarov, P. N. Nikolaev, “Method of statistical operators in the theory of crystals”, TMF, 41:3 (1979), 424–430; Theoret. and Math. Phys., 41:3 (1979), 1116–1120
\Bibitem{BazNik79}
\by I.~P.~Bazarov, P.~N.~Nikolaev
\paper Method of statistical operators in the theory of crystals
\jour TMF
\yr 1979
\vol 41
\issue 3
\pages 424--430
\mathnet{http://mi.mathnet.ru/tmf3080}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=566310}
\transl
\jour Theoret. and Math. Phys.
\yr 1979
\vol 41
\issue 3
\pages 1116--1120
\crossref{https://doi.org/10.1007/BF01019384}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JV61100013}
Linking options:
https://www.mathnet.ru/eng/tmf3080
https://www.mathnet.ru/eng/tmf/v41/i3/p424
This publication is cited in the following 4 articles:
P. N. Nikolaev, “Free Energy and the Equation of State of a System of Solid Spheres in Narrow Cylindrical Pores”, Moscow Univ. Phys., 74:2 (2019), 124
P. N. Nikolaev, “Phase Transition in Particle Systems with a Nonnegatively Defined Interaction Potential”, Moscow Univ. Phys., 73:3 (2018), 263
P. N. Nikolaev, “A parameterized equation of state for the region between the critical and supercritical isotherms and the interaction potential”, Moscow Univ. Phys., 69:2 (2014), 134
I. P. Bazarov, P. N. Nikolaev, “Solution of the quantum BBGKY hierarchy for a crystal”, Theoret. and Math. Phys., 47:1 (1981), 356–358
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