Journal of Atomic, Molecular, and Optical Physics
Volume 2011 (2011), Article ID 573179, 4 pages
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.
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.