Investigations on finite ideal quantum gases
H.-J. Schmidt, J. Schnack (U. of Osnabrueck)
TL;DR
This paper derives recursion formulas for the partition function, occupation numbers, and fluctuations of finite ideal quantum gases, providing exact results for specific potentials and discussing applications to nuclei and Bose-Einstein condensation.
Contribution
It introduces new recursion formulas for analyzing finite ideal quantum gases, extending exact results to various potentials and applications.
Findings
Exact recursion formulas for fermions and bosons in harmonic traps
Validation of three-dimensional harmonic oscillator approximations
Applications to excited nuclei and Bose-Einstein condensation
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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