D-dimensional ideal quantum gases in a Arn+Br-n potential

This paper is concerned with thermostatistics of both D-dimensional Bose and Fermi ideal gases in a confining potential of type Ar-n + Br-n, where A, B are strictly positive constants and n is the power-law exponent. The investigation is performed in the framework of the semiclassical approximation. Some physical quantities for such systems are derived, like the density of states, density profiles and the number of particles. Bose-Einstein condensation (BEC) is discussed in the high and low temperature limits corresponding to T --> infinity and T --> 0, respectively.