Algebraic Nature of Shape-Invariant and Self-Similar Potentials

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dc.creatorBalantekin, A. B.
dc.creatorRibeiro, M. A. Candido
dc.creatorAleixo, A. N. F.
dc.date1998-11-23
dc.date.accessioned2026-07-07T10:55:09Z
dc.date.available2026-07-07T10:55:09Z
dc.descriptionSelf-similar potentials generalize the concept of shape-invariance which was originally introduced to explore exactly-solvable potentials in quantum mechanics. In this article it is shown that previously introduced algebraic approach to the latter can be generalized to the former. The infinite Lie algebras introduced in this context are shown to be closely related to the q-algebras. The associated coherent states are investigated.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/9811061
dc.identifierhttp://arxiv.org/abs/quant-ph/9811061
dc.identifierJ.Phys.A32:2785-2790,1999
dc.identifierdoi:10.1088/0305-4470/32/15/007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186028
dc.subjectQuantum Physics
dc.subjectNuclear Theory
dc.titleAlgebraic Nature of Shape-Invariant and Self-Similar Potentials
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