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Grand Canonical Description of Ideal Quantum Systems

  • Walter Greiner
  • Ludwig Neise
  • Horst Stöcker
Part of the Classical Theoretical Physics book series (CLASSTHEOR)

Abstract

The formalism of the preceding sections shall now be further worked out for ideal, non-interacting quantum systems. Such systems are described by a Hamiltonian of the form (11.9). The canonical partition function
$$Z(T,V,N,) = (exp\{ - \beta \widehat {N\} }) = \frac{1}{{N!}}\sum\limits_{K1,...,{K_N}} {S,A} {\left\langle {k1,...,{k_N}|exp\{ - \beta \widehat {H\} |k1,...,{k_N}}} \right\rangle ^{S,A}}$$
(12.1)

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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Walter Greiner
    • 1
  • Ludwig Neise
    • 1
  • Horst Stöcker
    • 1
  1. 1.Institut für Theoretische PhysikJohann Wolfgang Goethe Universität Frankfurt am MainFrankfurt am MainGermany

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