Investigation of Bose condensation in ideal Bose gas trapped under generic power law potential in $d$ dimension

Abstract

The changes in characteristics of Bose condensation of ideal Bose gas due to an external generic power law potential $U={\sum }_{i=1}^d{c}_i|\frac{x_i}{a_i}{|}^{n_i}$ are studied carefully. Detailed calculation of Kim $et$ $al.$ (S. H. Kim, C. K. Kim and K. Nahm, J Phys. Condens. Matter 11 10269 (1999).) yielded the hierarchy of condensation transitions with changing fractional dimensionality. In this manuscript, some theorems regarding specific heat at constant volume $C_V$ are presented. Careful examination of these theorems reveal the existence of hidden hierarchy of the condensation transition in trapped systems as well.

References in corpus (2)

• Unified statistical thermodynamics of quantum gases trapped under generic power law potential in $d$ dimension and equivalence in $d=1$
• A note on Fermi energy of Fermi gas trapped under generic power law potential in $d$-dimension