The paper is concerned with thermostatistics of both $D$-dimensional Bose and Fermi ideal gases in a confining potential of type $Ar^{ n}+Br^{ -n}$. The investigation is performed in the framework of the semiclassical approximation. Some physical quantities for such systems are derived, like density of states, density profiles and number of particles. Bose-Einstein condensation (BEC) is discussed in the high and low temperature regimes.

Categories: hep-th

D-dimensional Ideal Quantum Gases in $Ar^{n}+Br^{-n}$ Potential