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Funktsional. Anal. i Prilozhen., 2002, Volume 36, Issue 3, Pages 48–55 (Mi faa203)  

This article is cited in 2 scientific papers (total in 2 papers)

Comparison of Thermodynamic Characteristics of a Potential Well under Quantum and Classical Approaches

L. A. Sakhnovich

University of Connecticut

Abstract: The conjecture according to which the mean energy of an equilibrium system in quantum theory exceeds the mean energy of the corresponding classical system is considered. It is rigorously proved that the conjecture holds for the potential well. The estimates for the mean energy of the potential well at high and low temperatures are of special interest.

Keywords: equilibrium systems, mean energy, potential well

DOI: https://doi.org/10.4213/faa203

Full text: PDF file (107 kB)
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English version:
Functional Analysis and Its Applications, 2002, 36:3, 205–211

Bibliographic databases:

UDC: 517.9
Received: 02.04.2001

Citation: L. A. Sakhnovich, “Comparison of Thermodynamic Characteristics of a Potential Well under Quantum and Classical Approaches”, Funktsional. Anal. i Prilozhen., 36:3 (2002), 48–55; Funct. Anal. Appl., 36:3 (2002), 205–211

Citation in format AMSBIB
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\paper Comparison of Thermodynamic Characteristics of a Potential Well under Quantum and Classical Approaches
\jour Funktsional. Anal. i Prilozhen.
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\pages 48--55
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Sakhnovich L., “Comparison of thermodynamic characteristics in the ordinary quantum and classical approaches”, Physica a-Statistical Mechanics and its Applications, 390:21–22 (2011), 3679–3686  crossref  mathscinet  adsnasa  isi  scopus
    2. Sakhnovich L., “Inhomogeneous Boltzmann Equations: Distance, Asymptotics and Comparison of the Classical and Quantum Cases”, Phys. Lett. A, 376:30-31 (2012), 2073–2080  crossref  mathscinet  zmath  adsnasa  isi  scopus
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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