Exact solutions of the Schrodinger equation in D-dimensions for the pseudoharmonic potential plus ring-shaped potential

dc.creatorIkhdair, Sameer M.
dc.creatorSever, Ramazan
dc.date2007-03-15
dc.date.accessioned2026-07-07T09:50:17Z
dc.date.available2026-07-07T09:50:17Z
dc.descriptionWe present analytically the exact energy bound-states solutions of the Schrodinger equation in $D$-dimensions for a pseudoharmonic potential plus ring-shaped potential of the form $V(r,θ)=D_{e}(\frac{r}{% r_{e}}-\frac{r_{e}}{r}) ^{2}+\frac{β\cos ^{2}θ}{r^{2}\sin ^{2}θ}$ by means of the conventional Nikiforov-Uvarov method. We also give a clear recipe of how to obtain an explicit solution to the radial and angular parts of the wave functions in terms of orthogonal polynomials. The total energy of the system is different from the pseudoharmonic potential because of the contribution of the angular part. The general results obtained in this work can be reduced to the standard forms given in the literature.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0703131
dc.identifierhttp://arxiv.org/abs/quant-ph/0703131
dc.identifierCent. Eur. J. Phys. 6, 685(2008)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164892
dc.subjectQuantum Physics
dc.titleExact solutions of the Schrodinger equation in D-dimensions for the pseudoharmonic potential plus ring-shaped potential
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