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Superintegrability in three-dimensional Euclidean space

Abstract
Potentials for which the corresponding Schrödinger equation is maximally superintegrable in three-dimensional Euclidean space are studied. The quadratic algebra which is associated with each of these potentials is constructed and the bound state wave functions are computed in the separable coordinates.
Type
Journal Article
Type of thesis
Series
Citation
Kalnins, E.G., Williams, G.C., Miller, W., Jr. & Pogosyan, G.S. (1999). Superintegrability in three-dimensional Euclidean space. Journal of Mathematical Physics, 40, 708.
Date
1999-02
Publisher
Degree
Supervisors
Rights
Copyright 1999 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in the Journal of Mathematical Physics and may be found at http://jmp.aip.org/jmp/top.jsp