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Investigations on finite ideal quantum gases

H. -J. Schmidt, J. Schnack

cond-mat.stat-mecharXiv:cond-mat/9803151

Abstract

Recursion formulae of the N-particle partition function, the occupation numbers and its fluctuations are given using the single-particle partition function. Exact results are presented for fermions and bosons in a common one-dimensional harmonic oscillator potential, for the three-dimensional harmonic oscillator approximations are tested. Applications to excited nuclei and Bose-Einstein condensation are discussed.

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