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arxiv: cond-mat/0005159 · v1 · submitted 2000-05-09 · ❄️ cond-mat

Analytical results for a trapped, weakly-interacting Bose-Einstein condensate under rotation

A. D. Jackson (Niels Bohr Institute , Denmark) , G. M. Kavoulakis (NORDITA This is my paper
classification ❄️ cond-mat
keywords analyticalangularbose-einsteincondensateenergymomentumrotationtrapped
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We examine the problem of a repulsive, weakly-interacting and harmonically trapped Bose-Einstein condensate under rotation. We derive a simple analytic expression for the energy incorporating the interactions when the angular momentum per particle is between zero and one and find that the interaction energy decreases linearly as a function of the angular momentum in agreement with previous numerical and limiting analytical studies.

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