Algebraic treatment of super-integrable potentials

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dc.creatorChetouani, L.
dc.creatorGuechi, L.
dc.creatorHammann, T. F.
dc.date2003-02-18
dc.date.accessioned2026-07-07T06:06:11Z
dc.date.available2026-07-07T06:06:11Z
dc.descriptionThe so$(2,1)$ Lie algebra is applied to three classes of two- and three-dimensional Smorodinsky-Winternitz super-integrable potentials for which the path integral discussion has been recently presented in the literature. We have constructed the Green's functions for two important super-integrable potentials in $R^{2}.$ Among the super-integrable potentials in $R^{3}$, we have considered two examples, one is maximally super-integrable and another one minimally super-integrable. The discussion is made in various coordinate systems. The energy spectrum and the suitably normalized wave functions of bound and continuous states are then deduced.
dc.description35 pages, no figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0302130
dc.identifierhttp://arxiv.org/abs/quant-ph/0302130
dc.identifierJ. Math. Phys. 42 (2001) 4684 - 4707
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90885
dc.subjectQuantum Physics
dc.titleAlgebraic treatment of super-integrable potentials
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