JI-XUAN HOU - Journal Of Physics - Indian Academy Of Sciences

Volume 87 Issue 4 October 2016 Article ID 0060 Regular

Bose gases in one-dimensional harmonic trap

JI-XUAN HOU JING YANG

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Thermodynamic quantities, occupation numbers and their fluctuations of a one-dimensional Bose gas confined by a harmonic potential are studied using different ensemble approaches. Combining number theory methods, a new approach is presented to calculate the occupation numbers of different energy levels in microcanonical ensemble. The visible difference of the ground state occupation number in grand-canonical ensemble and microcanonical ensemble is found to decrease by power law as the number of particles increases.

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