**Authors:****Peter Borrmann****Gert Franke****Files:****J. Chem. Phys. 98, 2484 (1993),**

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**Date:**19980201**Misc:**published in J. Chem. Phys. 98, 2484 (1993)**Keywords:**- Bose-Einstein, Fermi-Dirac, partition function, Bose-Einstein condensation, canonical ensemble, recursion formula, statistical physics, fiinite systems
**Abstract:**We derived recusion formulas for the canonical partition functions for Bose-Einstein and Fermi-Dirac statistics. The numerical effort for the calculation of the partition functions grows only with the square of the particle number. E.g. the recursion for Bose-Einstein statistics could be applied to calculate the thermodynamic properties of Bose-Einstein condensates ( BEC ) in ion traps. ( A Fortran implementaion of the recusion formulas with multiple precision arithmetics is available upon Email request.)

Upload by Peter Borrmann on 2 February 1998

Supporting work done by Sandra Valeska Bergmann.