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Statistical mechanical transformation theory for quantum systems with discrete spectra

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Abstract

The superoperator transformation theory developed by the Brussels school is applied to quantum systems with discrete spectra. In the case of nondegeneracy of the spectra, there is no difficulty in obtaining explicit expressions for the most important superoperators in terms of the unitary operator which diagonalizes the Hamiltonian. The degenerate case presents special problems which are studied in detail.

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Author notes

  1. J. Rae

    Present address: Faculté des Sciences, Université Libre de Bruxelles, Bruxelles, Belgium

Authors and Affiliations

  1. Center for Statistical Mechanics and Thermodynamics, Austin, Texas

    J. Rae & R. Davidson

Authors
  1. J. Rae
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  2. R. Davidson
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Rae, J., Davidson, R. Statistical mechanical transformation theory for quantum systems with discrete spectra. J Stat Phys 3, 135–147 (1971). https://doi.org/10.1007/BF01019847

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  • DOI: https://doi.org/10.1007/BF01019847

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