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Substituting (Formula presented) into the GP equation, we obtain (Formula presented) (Formula presented)where (Formula presented) and (Formula presented) Using these relations, (Formula presented)If we assume (Formula presented) and the gradient of the density to be small, the approximation (Formula presented) is attainable
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Substituting (Formula presented) into the GP equation, we obtain (Formula presented) (Formula presented)where (Formula presented) and (Formula presented) Using these relations, (Formula presented)If we assume (Formula presented) and the gradient of the density to be small, the approximation (Formula presented) is attainable.
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You can see the animation of this dynamics in http://matter.sci.osaka-cu.ac.jp/bsr/vortexex-e.html
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You can see the animation of this dynamics in http://matter.sci.osaka-cu.ac.jp/bsr/vortexex-e.html
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