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Spectral Densities and Partition Functions of Modular Quantum ystems as Derived from a Central Limit Theorem

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Abstract

Using a central limit theorem for arrays of interacting quantum systems, we give analytical expressions for the density of states and the partition function at finite temperature of such a system, which are valid in the limit of infinite number of subsystems. Even for only small numbers of subsystems we find good accordance with some known, exact results.

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Authors and Affiliations

  1. Institute of Thechnical Physics, DLR Stuttgart, U.K

    Michael Hartmann

  2. Institute of Theoretical Physics I, University of Stuttgart, U.K

    Michael Hartmann & Günter Mahler

  3. Advanced Technology Institute, University of Surrey, U.K

    Ortwin Hess

Authors
  1. Michael Hartmann
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  2. Günter Mahler
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  3. Ortwin Hess
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Correspondence to Michael Hartmann.

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Hartmann, M., Mahler, G. & Hess, O. Spectral Densities and Partition Functions of Modular Quantum ystems as Derived from a Central Limit Theorem. J Stat Phys 119, 1139–1151 (2005). https://doi.org/10.1007/s10955-004-4298-5

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  • DOI: https://doi.org/10.1007/s10955-004-4298-5

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