Superintegrability in three-dimensional Euclidean space

E. G. Kalnins; G. C. Williams; W. Miller; G. S. Pogosyan

doi:10.1063/1.532699

Superintegrability in three-dimensional Euclidean space

E. G. Kalnins
, G. C. Williams
, W. Miller
, G. S. Pogosyan

Research output: Contribution to journal › Article › peer-review

44 Scopus citations

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.

Original language	English (US)
Pages (from-to)	708-725
Number of pages	18
Journal	Journal of Mathematical Physics
Volume	40
Issue number	2
DOIs	https://doi.org/10.1063/1.532699
State	Published - Feb 1999
Externally published	Yes

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10.1063/1.532699

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title = "Superintegrability in three-dimensional Euclidean space",

abstract = "Potentials for which the corresponding Schr{\"o}dinger 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.",

author = "Kalnins, \{E. G.\} and Williams, \{G. C.\} and W. Miller and Pogosyan, \{G. S.\}",

year = "1999",

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AU - Miller, W.

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N2 - 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.

AB - 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.

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Superintegrability in three-dimensional Euclidean space

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