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

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.

Final version accepted for publication in Am. Journ. Phys

References in corpus (3)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Molecules of Fermionic Atoms in an Optical Lattice
• Level rearrangement in exotic atoms and quantum dots

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