Superintegrability in three-dimensional Euclidean space

Authors
Kalnins, EG Williams, GC Miller, W Pogosyan, GS
Citation
Eg. Kalnins et al., Superintegrability in three-dimensional Euclidean space, J MATH PHYS, 40(2), 1999, pp. 708-725
Citations number
26
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
40
Issue
2
Year of publication
1999
Pages
708 - 725
Database
ISI
SICI code
0022-2488(199902)40:2<708:SITES>2.0.ZU;2-M
Abstract
Potentials for which the corresponding Schrodinger equation is maximally su per-integrable in three-dimensional Euclidean space are studied. The quadra tic algebra which is associated with each of these potentials is constructe d and the bound state wave functions are computed in the separable coordina tes. (C) 1999 American Institute of Physics. [S0022-2488(99)02602-X].