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

Michael Hartmann, Günter Mahler, Ortwin Hess

Research output: Contribution to journalArticle

11 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1139-1151
Number of pages13
JournalJournal of Statistical Physics
Volume119
Issue number5-6
DOIs
Publication statusPublished - Jun 2005

Keywords

  • Partition sums
  • Quantum central limit theorem
  • Quantum statistical mechanics
  • Spectral densities

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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