On a dynamical symmetry group of the relativistic linear singular oscillator

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dc.creatorNagiyev, S. M.
dc.creatorJafarov, E. I.
dc.creatorImanov, R. M.
dc.date2006-08-26
dc.date2006-09-28
dc.date.accessioned2026-07-07T07:20:39Z
dc.date.available2026-07-07T07:20:39Z
dc.descriptionAn exact approach for the factorization of the relativistic linear singular oscillator is proposed. This model is expressed by the finite-difference Schrödinger-like equation. We have found finite-difference raising and lowering operators, which are with the Hamiltonian operator form the close Lie algebra of the $SU(1, 1)$ group.
dc.description7 pages, EPL style LaTeX file, accepted for publication in Europhysics Letters
dc.identifierhttps://arxiv.org/abs/math-ph/0608057
dc.identifierhttp://arxiv.org/abs/math-ph/0608057
dc.identifierEurophys. Lett., 76 (2), pp. 175--181 (2006)
dc.identifierdoi:10.1209/epl/i2006-10259-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115024
dc.subjectMathematical Physics
dc.subject39A05; 22E45; 22E70
dc.titleOn a dynamical symmetry group of the relativistic linear singular oscillator
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