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Journal of Atomic, Molecular, and Optical Physics
Volume 2011 (2011), Article ID 573179, 4 pages
http://dx.doi.org/10.1155/2011/573179
Research Article

Bound States in Delta Function Potentials

Department of Physics, University of Colorado, Boulder, CO 80309, USA

Received 28 June 2011; Accepted 18 September 2011

Academic Editor: Gregory Lapicki

Copyright © 2011 Sydney Geltman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present a systematic treatment of the bound state structure of a short-range attractive interatomic potential in one, two, and three dimensions as its range approaches zero. This allows the evaluation of the utility of delta function potentials in the modeling of few-body systems such as nuclei, atoms, and clusters. The relation to scattering by delta function potentials is also discussed.