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

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

2005-12-05

arxiv.org/abs/hep-th/0512049v1

Commun.Theor.Phys.46:966-968,2006

Physics

High Energy Physics

High Energy Physics - Theory

7 pages; revtex4

Scientific paper

10.1088/0253-6102/46/6/002

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 $\theta$. 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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