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American Journal of Physics -- June 2009 -- Volume 77, Issue 6, pp. 511

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

Patrick Shea1, Brandon P. van Zyl2, and Rajat K. Bhaduri3

1Department of Physics and Atmospheric Science, Dalhousie University, Halifax, Nova Scotia B3H 3J5, Canada
2Department of Physics, St. Francis Xavier University, Antigonish, Nova Scotia B2G 2W5, Canada
3Department of Physics and Astronomy, McMaster University, Hamilton, Ontario L8S 4M1, Canada

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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.

© 2009 American Association of Physics Teachers

KEYWORDS and PACS

Keywords

boson systems, harmonic oscillators, physics education, radiation pressure

PACS

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History
Received Jul 2008
Accepted Oct 2008
Online May 2009

PUBLICATION DATA

ISSN

0002-9505 (print)  

Publisher

$abstract.society.value is a Member of CrossRef American Association of Physics Teachers

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1119/1.3013812

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