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arXiv · 0807.2979

The two-body problem of ultra-cold atoms in a harmonic trap

Patrick Shea·Brandon P. van Zyl·Rajat K. Bhaduri
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Abstract

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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Patrick Shea, Brandon P. van Zyl, Rajat K. Bhaduri. 2008-07-18. The two-body problem of ultra-cold atoms in a harmonic trap. https://doi.org/10.1119/1.3013812

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