A relativistic model of the $N$-dimensional singular oscillator

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dc.creatorNagiyev, S. M.
dc.creatorJafarov, E. I.
dc.creatorEfendiyev, M. Y.
dc.date2006-12-05
dc.date.accessioned2026-07-07T07:36:17Z
dc.date.available2026-07-07T07:36:17Z
dc.descriptionExactly solvable $N$-dimensional model of the quantum isotropic singular oscillator in the relativistic configurational $\vec r_N$-space is proposed. It is shown that through the simple substitutions the finite-difference equation for the $N$-dimensional singular oscillator can be reduced to the similar finite-difference equation for the relativistic isotropic three-dimensional singular oscillator. We have found the radial wavefunctions and energy spectrum of the problem and constructed a dynamical symmetry algebra.
dc.description8 pages, accepted for publication in J. Phys. A
dc.identifierhttps://arxiv.org/abs/math-ph/0612015
dc.identifierhttp://arxiv.org/abs/math-ph/0612015
dc.identifierJ.Phys. A40 (2007) 289-295
dc.identifierdoi:10.1088/1751-8113/40/2/008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120372
dc.subjectMathematical Physics
dc.subject70F10; 70H40; 39A70; 81R10
dc.titleA relativistic model of the $N$-dimensional singular oscillator
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