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DY: Dynamik und Statistische Physik
DY 13: Quantum Chaos
DY 13.12: Talk
Friday, March 4, 2005, 17:00–17:15, TU H2032
Bose-Einstein Condensation in Canonical Ensembles — •Konstantin Glaum1 and Axel Pelster2 — 1Institut für Theore-
tische Physik, Freie Universität Berlin, Berlin, Germany — 2Fachbereich Physik, Universität Duisburg-Essen, Essen, Germany
We set up a recursion relation for the partition function of a finite
number
of bosons in different trap configurations.
This leads to explicit formulas for the specific heat
and the number of particles in the ground state defining the condensate.
All curves have
the correct small T-
behavior
and approach their thermodynamic limits uniformly for all temperatures.
This is in contrast to an earlier version of the theory in Feynman’s
textbook on Statistical Mechanics, which ignored the special role of
the ground state.