IDEAL QUANTUM GASES

Ravinder Rupchand Puri

Ahmed Jellal, Mohammed Daoud A

This paper is concerned with thermostatistics of both D-dimensional Bose and Fermi ideal gases in a confining potential of type Arn+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→∞ and T→0, respectively.

Ji-Xuan Hou

In the microcanonical ensemble, the ideal Bose system is divided into a normal part and a condensed part, with the weight of each part determined by the condition of maximum entropy. Using this binary approximation, the characteristic temperature of the ideal Bose system and the relationship between the ground state occupation number and temperature can be obtained. Taking the ideal Bose gas in three-dimensional free space and in a one-dimensional harmonic oscillator potential as examples, this paper demonstrates the solution process by this binary approximation, and the results are very close to the exact solutions.