On a q-analogue of the spin-orbit coupling

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dc.creatorMicu, M.
dc.creatorStancu, Fl.
dc.date2000-06-30
dc.date.accessioned2026-07-07T10:54:33Z
dc.date.available2026-07-07T10:54:33Z
dc.descriptionBased on the tensor method, a q-analoque of the spin-orbit coupling is introduced in a q-deformed Schroedinger equation, previously derived for a central potential. Analytic expressions for the matrix elemnets of the representation j=l\pm 1/2 are derived. The spectra of the harmonic oscillator and the Coulomb potential are calculated numerically as a function of the deformation parameter, without and with the spin-orbit coupling. The harmonic oscillator spectrum presents strong analogies with the bound spectrum of an Woods-Saxon potential customarily used in nuclear physics. The Coulomb spectrum simulates relativistic effects. The addition of the spin-orbit coupling reinforces this picture.
dc.description25 pages, 4 figues, with RevTeX. Accepted for publication in J. Phys. A
dc.identifierhttps://arxiv.org/abs/nucl-th/0006081
dc.identifierhttp://arxiv.org/abs/nucl-th/0006081
dc.identifierJ.Phys.A33:5693-5706,2000
dc.identifierdoi:10.1088/0305-4470/33/32/307
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185833
dc.subjectNuclear Theory
dc.titleOn a q-analogue of the spin-orbit coupling
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