Recursion formulas for quantum statistical parttion functions.

Peter Borrmann
Gert Franke

J. Chem. Phys. 98, 2484 (1993),
PDF: recursion.pdf (74 KB) (for interal use only),
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Date: 19980201

Misc: published in J. Chem. Phys. 98, 2484 (1993)

Bose-Einstein, Fermi-Dirac, partition function, Bose-Einstein condensation, canonical ensemble, recursion formula, statistical physics, fiinite systems

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.)

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