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arXiv · hep-th/0512049

Effects of spatial noncommutativity on energy spectrum of a trapped Bose-Einstein condensate

You-Hua Luo·Zi-Ming Ge
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Abstract

In noncommutative space, we examine the problem of a noninteracting and harmonically trapped Bose-Einstein condensate, and derive a simple analytic expression for the effect of spatial noncommutativity on energy spectrum of the condensate. It indicates that the ground-state energy incorporating the spatial noncommutativity is reduced to a lower level, which depends upon the noncommutativity parameter $θ$. The appeared gap between the noncommutative space and commutative one for the ground-state level of the condensate should be a signal of spatial noncommutativity.

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You-Hua Luo, Zi-Ming Ge. 2005-12-05. Effects of spatial noncommutativity on energy spectrum of a trapped Bose-Einstein condensate. https://doi.org/10.1088/0253-6102%2F46%2F6%2F002

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