Effects of Spatial Noncommutativity on Energy Spectrum of a Trapped Bose-Einstein Condensate |
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Authors: | LUO You-Hua and GE Zi-Ming |
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Affiliation: | Institute for Theoretical Physics and Department of Physics, East ChinaUniversity of Science and Technology, Shanghai 200237, China |
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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 noncommutatlvity 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 8. The 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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Keywords: | spatial noncommutativity energy spectrum Bose Einstein condensate |
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