Bose - Einstein condensation in arbitrary dimensions
Statistical Mechanics
2012-09-28 v1 Quantum Gases
Abstract
The density of bosonic states are calculated for spinless free massive bosons in generalised d dimensions. The number of bosons are calculated in the lowest energy state. The Bose Einstein condensation was found in generalised d dimensions (on and above d = 3) and the condensation temperature is calculated which is observed to drop abruptly above three dimensions and decreases monotonically as the dimensionalities of the system increases. The rate of fall of the condensation temperature decreases as the dimensionality increases. Interestingly, in the limit of infinite dimensions, the condensation temperature is observed to approach a nonzero finite value.
Cite
@article{arxiv.1208.4888,
title = {Bose - Einstein condensation in arbitrary dimensions},
author = {Ajanta Bhowal Acharyya and Muktish Acharyya},
journal= {arXiv preprint arXiv:1208.4888},
year = {2012}
}
Comments
7 pages Latex, Acta Physica Polonica (in press) 2012