The algebra of the quantum nondegenerate three-dimensional Kepler-Coulomb potential

Journal Article · Fri Jul 15 00:00:00 EDT 2011 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778811060299· OSTI ID:22043881

Tanoudis, Y; Daskaloyannis, C ^[1]

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1. Aristotle University of Thessaloniki, Mathematics Department (Greece)

The classical generalized Kepler-Coulomb potential, introduced by Verrier and Evans, corresponds to a quantum superintegrable system, with quadratic and quartic integrals of motion. In this paper we show that the algebra of the integrals is a quadratic ternary algebra, i.e a quadratic extension of a Lie triple system.

• OSTI ID: 22043881
• Journal Information: Physics of Atomic Nuclei, Vol. 74, Issue 7; Other Information: Copyright (c) 2011 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
COULOMB FIELD
INTEGRALS
QUANTUM MECHANICS
THREE-DIMENSIONAL CALCULATIONS