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The principle of thermodynamic equivalence in statistical mechanics: The method of approximating Hamiltonian

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Abstract

We discuss the main ideas that lie at the foundations of the approximating Hamiltonian method (AHM) in statistical mechanics. The principal constraints for model Hamiltonians to be investigated by AHM are considered along with the main results obtainable by this method. We show how it is possible to enlarge the class of model Hamiltonians solvable by AHM with the help of an example of the BCS-type model.

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Authors and Affiliations

  1. National Institute of Scientific and Technical Information, USSR Academy of Sciences, Baltijskaya 14, 125219, Moscow, USSR

    A. P. Bakulev

  2. V. A. Steklov Mathematical Institute, USSR Academy of Sciences, Vavilova 42, 117333, Moscow, USSR

    N. N. Bogoljubov Jr. & A. M. Kurbatov

Authors
  1. A. P. Bakulev
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  2. N. N. Bogoljubov Jr.
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  3. A. M. Kurbatov
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Additional information

Invited paper specially written to honor N. N. Bogoljubov, Sr. on the occasion of his 75th birthday.

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Bakulev, A.P., Bogoljubov, N.N. & Kurbatov, A.M. The principle of thermodynamic equivalence in statistical mechanics: The method of approximating Hamiltonian. Found Phys 16, 871–882 (1986). https://doi.org/10.1007/BF00765335

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  • DOI: https://doi.org/10.1007/BF00765335

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