00-322 Luca Salasnich (INFM and Univ. Milano)

Ideal Quantum Gases in D-dimensional Space and Power-Law Potentials (27K, LATeX) Aug 24, 00

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Abstract. We investigate ideal quantum gases in D-dimensional space and confined in a generic external potential by using the semiclassical approximation. In particular, we derive density of states, density profiles and critical temperatures for Fermions and Bosons trapped in isotropic power-law potentials. >From such results, one can easily obtain those of quantum gases in a rigid box and in a harmonic trap. Finally, we show that the Bose-Einstein condensation can set up in a confining power-law potential if and only if ${D/2}+{D/n}>1$, where $D$ is the space dimension and $n$ is the power-law exponent. [To be published in Journal of Mathematical Physics]

Files: 00-322.tex