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

TL;DR

This paper studies the thermodynamic properties of D-dimensional Bose and Fermi ideal gases confined in a specific potential, deriving key physical quantities and analyzing Bose-Einstein condensation in different temperature regimes.

Contribution

It provides a semiclassical analysis of ideal quantum gases in a combined potential, deriving density of states, profiles, and BEC conditions in arbitrary dimensions.

Findings

Derived density of states and density profiles for the system.

Analyzed Bose-Einstein condensation in high and low temperature limits.

Provided insights into the effects of the potential on quantum gases.

Abstract

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.