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arXiv 0807.2979physics.atom-phcond-mat.other
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The two-body problem of ultra-cold atoms in a harmonic trap

Patrick Shea, Brandon P. van Zyl, Rajat K. Bhaduri

英文摘要:

We consider two bosonic atoms interacting with a short-range potential and trapped in a spherically symmetric harmonic oscillator. The problem is exactly solvable and is relevant for the study of ultra-cold atoms. We show that the energy spectrum is universal, irrespective of the shape of the interaction potential, provided its range is much smaller than the oscillator length.

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