Deformed algebras, position-dependent effective masses and curved spaces: An exactly solvable Coulomb problem

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dc.creatorQuesne, C.
dc.creatorTkachuk, V. M.
dc.date2004-03-25
dc.date.accessioned2026-07-07T10:50:38Z
dc.date.available2026-07-07T10:50:38Z
dc.descriptionWe show that there exist some intimate connections between three unconventional Schrödinger equations based on the use of deformed canonical commutation relations, of a position-dependent effective mass or of a curved space, respectively. This occurs whenever a specific relation between the deforming function, the position-dependent mass and the (diagonal) metric tensor holds true. We illustrate these three equivalent approaches by considering a new Coulomb problem and solving it by means of supersymmetric quantum mechanical and shape invariance techniques. We show that in contrast with the conventional Coulomb problem, the new one gives rise to only a finite number of bound states.
dc.description22 pages, no figure. Archive version is already official. Published by JPA at http://stacks.iop.org/0305-4470/37/4267
dc.identifierhttps://arxiv.org/abs/math-ph/0403047
dc.identifierhttp://arxiv.org/abs/math-ph/0403047
dc.identifierJ.Phys.A37:4267-4281,2004
dc.identifierdoi:10.1088/0305-4470/37/14/006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184598
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.subjectQuantum Physics
dc.titleDeformed algebras, position-dependent effective masses and curved spaces: An exactly solvable Coulomb problem
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