Equivalence of the grand canonical partition functions of particles with different statistics

Details Equivalence of the grand canonical partition functions of particles with different statistics Equivalence of the grand canonical partition functions of particles with different statistics

1997-08-27

arxiv.org/abs/quant-ph/9708049v1

Mod.Phys.Lett. A12 (1997) 1095-1099

Physics

Quantum Physics

4 pages

Scientific paper

It is shown that the grand partition function of an ideal Bose system with
single particle spectrum $\epsilon_i = (2n+k+3/2)\hbar\omega$ is identical to
that of a system of particles with single particle energy $\epsilon_i
=(n+1/2)\hbar\omega$ and obeying a particular kind of statistics based on the
permutation group.

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