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Oscillation of a Bose Einstein condensate in an harmonic trap
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[QUOTE="SuperPhysicist, post: 4547554, member: 491650"] Thank you for your reply! Now I know at least that I'm on the right trail. There is one more thing that I was thinking about today that confuses me, though. For the harmonic oscillator, the restoring force is lineair in the position [B]x[/B] of the oscillator. Because this position is a continuously varying parameter during the oscillation, the restoring force constantly changes dependent on this position, and thus one gets the typical harmonic movement around the equilibrium. In this case however, the parameter [B]a[/B] is a constant shift of the potential, which does not change anymore after the potential has been translated. Doesn't this mean that the force I have derived keeps a constant value and sign all the time? If so, I don't immediately see how it can be used to further describe the oscillation of the condensate, since I would say one needs a varying parameter to do this. Or am I completely missing something here? EDIT: Or maybe I should not see [B]a[/B] as a constant translation value, but as a variable distance between the condensate and the center of the potential? [/QUOTE]
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Oscillation of a Bose Einstein condensate in an harmonic trap
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