Numerical analysis of Bose-Einstein condensation in a three-dimensional harmonic oscillator potential

American Journal of Physics

Volumn 66, Issue 3, 1998, Pages 185-190

  Ligare, Martin ^a  

^a BUCKNELL UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345982312     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18843     Document Type: Article

References (12)

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12. The m units of energy must be partitioned between the three independent oscillators. To visualize the problem, represent the units of energy as m indistinguishable particles in a row. There are (m-1) spots between the particles in which to place two "dividers" which partition the energy into three sets. The total number of permutations of the particles and dividers is (M + 2)!. To determine the total number of states this must be divided by m!2! because permuting the energy units energy units amongst themselves and permuting the dividers amongst themselves does not produce a new arrangement. Thus the total number of states is (m + 2)(m+ 1)/2.