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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 160, Number 2, Pages 370–384
DOI: https://doi.org/10.4213/tmf6404
(Mi tmf6404)
 

This article is cited in 6 scientific papers (total in 6 papers)

Toward a quantum generalization of equilibrium statistical thermodynamics: $\hbar$$k$ Dynamics

A. D. Sukhanova, O. N. Golubevab

a Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
b Peoples' Friendship University of Russia, Moscow, Russia
Full-text PDF (461 kB) Citations (6)
References:
Abstract: We show that the quantum statistical mechanics (QSM) describing the quantum and thermal properties of objects only has the sense of a particular semiclassical approximation. We propose a more general microdescription than in QSM of objects in a thermal bath with the vacuum explicitly taken into account; we call it $\hbar$$k$ dynamics. We construct a qualitatively new model of the object environment, namely, a quantum thermal bath. We study its properties including the cases of a "cold" and a "thermal" vacuum. We introduce the stochastic action operator and show its fundamental role in the microdescription. We establish that the corresponding macroparameter, the effective action, plays just as significant a role in the macrodescription. The most important effective macroparameters of equilibrium quantum statistical thermodynamics—internal energy, temperature, and entropy—are expressed in terms of this macroparameter.
Keywords: $\hbar$$k$ dynamics, quantum thermal bath, cold vacuum, thermal vacuum, stochastic action operator, effective action, quantum-thermal entropy.
Received: 08.05.2009
English version:
Theoretical and Mathematical Physics, 2009, Volume 160, Issue 2, Pages 1177–1189
DOI: https://doi.org/10.1007/s11232-009-0109-0
Bibliographic databases:
Language: Russian
Citation: A. D. Sukhanov, O. N. Golubeva, “Toward a quantum generalization of equilibrium statistical thermodynamics: $\hbar$$k$ Dynamics”, TMF, 160:2 (2009), 370–384; Theoret. and Math. Phys., 160:2 (2009), 1177–1189
Citation in format AMSBIB
\Bibitem{SukGol09}
\by A.~D.~Sukhanov, O.~N.~Golubeva
\paper Toward a~quantum generalization of equilibrium statistical thermodynamics: $\hbar$--$k$ Dynamics
\jour TMF
\yr 2009
\vol 160
\issue 2
\pages 370--384
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\crossref{https://doi.org/10.4213/tmf6404}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2604558}
\zmath{https://zbmath.org/?q=an:1177.82051}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2009TMP...160.1177S}
\transl
\jour Theoret. and Math. Phys.
\yr 2009
\vol 160
\issue 2
\pages 1177--1189
\crossref{https://doi.org/10.1007/s11232-009-0109-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000269885900010}
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  • https://www.mathnet.ru/eng/tmf6404
  • https://doi.org/10.4213/tmf6404
  • https://www.mathnet.ru/eng/tmf/v160/i2/p370
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:780
    Full-text PDF :258
    References:73
    First page:17
     
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