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

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

2008-07-18

arxiv.org/abs/0807.2979v4

Physics

Atomic Physics

Final version accepted for publication in Am. Journ. Phys

Scientific paper

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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