Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-03-13
Physics
Condensed Matter
Statistical Mechanics
REVTEX, 6 pages + postscript figures. Submitted to Phys. Rev. Lett. on November 13, 1997
Scientific paper
10.1016/S0038-1098(98)00624-3
Recent investigations show that the statistical mechanics of a finite number of particles in ideal harmonic systems predicts different results for the same physical properties, depending on the ensemble under consideration. Path integral methods for a finite number of bosons with equidistant energy levels give the same answers for the mean energy, the specific heat and the condensation temperature etc., irrespective whether their calculation results from the density of states, from the partition function or from the generating function. We show that this contradiction is due either to the use of approximate relations between quantum statistical expressions, or to a misinterpretation of the generating function.
Brosens F.
Devreese J. T.
Lemmens L. F.
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