D-dimensional Ideal Quantum Gases in $A{r}^n+B{r}^{-n}$ Potential

Abstract

The paper is concerned with thermostatistics of both $D$-dimensional Bose and Fermi ideal gases in a confining potential of type $A{r}^n+B{r}^{-n}$. 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.

13 pages, Latex

References in corpus (5)

• Ideal Quantum Gases in D-dimensional Space and Power-law Potentials
• Time-Dependent Variational Approach to Bose-Einstein Condensation
• Bose Condensate in a Double-Well Trap: Ground State and Elementary Excitations
• Self-Trapping, Quantum Tunneling and Decay Rates for a Bose Gas with Attractive Nonlocal Interaction
• Resonances and Chaos in the Collective Oscillations of a Trapped Bose Condensate

Cited by in corpus (2)

• Unified statistical thermodynamics of quantum gases trapped under generic power law potential in $d$ dimension and equivalence in $d=1$
• Investigation of Bose condensation in ideal Bose gas trapped under generic power law potential in $d$ dimension