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arXiv · 1512.01265

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

Mir Mehedi Faruk·Md. Sazzad Hossain·Md. Muktadir Rahman
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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.

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Mir Mehedi Faruk, Md. Sazzad Hossain, Md. Muktadir Rahman. 2015-12-03. Investigation of Bose condensation in ideal Bose gas trapped under generic power law potential in $d$ dimension. https://doi.org/10.1088/0253-6102%2F65%2F2%2F169

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