The two-body problem of ultra-cold atoms in a harmonic trap
Atomic Physics
2015-05-13 v4 Other Condensed Matter
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.
Keywords
Cite
@article{arxiv.0807.2979,
title = {The two-body problem of ultra-cold atoms in a harmonic trap},
author = {Patrick Shea and Brandon P. van Zyl and Rajat K. Bhaduri},
journal= {arXiv preprint arXiv:0807.2979},
year = {2015}
}
Comments
Final version accepted for publication in Am. Journ. Phys