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arxiv: cond-mat/9803151 · v1 · pith:KASNSQRCnew · submitted 1998-03-12 · ❄️ cond-mat.stat-mech

Investigations on finite ideal quantum gases

classification ❄️ cond-mat.stat-mech
keywords functionharmonicoscillatorpartitionapplicationsapproximationsbose-einsteinbosons
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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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