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Doklady Mathematics

, Volume 74, Issue 3, pp 910–913 | Cite as

Information entropy in problems of classical and quantum statistical mechanics

  • V. V. Kozlov
  • O. G. Smolyanov
Mathematical Physics

Keywords

Quantum System Steklov Institute DOKLADY Mathematic Information Entropy Borel Probability Measure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    R. Alicki and M. Fannes, Quantum Dynamical Systems (Oxford Univ. Press, Oxford, 2001).zbMATHGoogle Scholar
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    M. Ohya and D. Petz, Quantum Entropy and Its Use (Springer-Verlag, Berlin, 1993).zbMATHGoogle Scholar
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    J. Von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton Univ. Press, Princeton, N.J.; Nauka, Moscow, 1964).Google Scholar
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    V. V. Kozlov, Heat Equilibrium According to Gibbs and Poincaré (Izhevsk, Moscow, 2002) [in Russian].Google Scholar
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    D. V. Zubarev, V. G. Morozov, and G. Röpke, Statistical Mechanics of Nonequilibrium Processes (Moscow, 2001) [in Russian].Google Scholar
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    N. N. Bogolyubov and N. N. Bogolyubov, Jr., Introduction to Quantum Statistical Mechanics (Nauka, Moscow, 1984; World Scientific, Singapore, 1982).zbMATHGoogle Scholar
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    J. W. Gibbs, Elementary Principles in Statistical Mechanics (Yale Univ. Press, New Haven, Conn., 1902; Gostekhizdat, Moscow, 1946).zbMATHGoogle Scholar
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    J. von Neumann, Z. Phys. 57, 30–70 (1929).CrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Inc. 2006

Authors and Affiliations

  • V. V. Kozlov
    • 1
  • O. G. Smolyanov
    • 2
  1. 1.Steklov Institute of MathematicsRussian Academy of SciencesMoscowRussia
  2. 2.Moscow State UniversityLeninskie gory, MoscowRussia

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