 00322 Luca Salasnich (INFM and Univ. Milano)
 Ideal Quantum Gases in Ddimensional Space and PowerLaw Potentials
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Aug 24, 00

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Abstract. We investigate ideal quantum gases in Ddimensional 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 powerlaw 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 BoseEinstein condensation
can set up in a confining powerlaw potential
if and only if ${D/2}+{D/n}>1$,
where $D$ is the space dimension and $n$ is the
powerlaw exponent.
[To be published in Journal of Mathematical Physics]
 Files:
00322.tex