Exact solutions of the D-dimensional Schrodinger equation for a ring-shaped pseudoharmonic potential

Date

2008-09-01

Author

IKHDAİR, SAMEER
Sever, Ramazan

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A new non-central potential, consisting of a pseudoharmonic potential plus another recently proposed ring-shaped potential, is solved. It has the form V(r, theta) = 1/8 Kr-e(2) (r/r(e) - r(e)/r)(2) + beta cos(2)theta/r(2)sin(2)theta. The energy eigenvalues and eigenfunctions of the bound-states for the Schrodinger equation in D-dimensions for this potential are obtained analytically by using the Nikiforov-Uvarov method. The radial and angular parts of the wave functions are obtained in terms of orthogonal Laguerre and Jacobi polynomials. We also find that the energy of the particle and the wave functions reduce to the energy and the wave functions of the bound-states in three dimensions.

Subject Keywords

Energy eigenvalues and eigenfunctions, Pseudoharmonic potential, Ring-shaped potential, Non-central potentials, Nikiforov and Uvarov method

URI

https://hdl.handle.net/11511/62627

Journal

CENTRAL EUROPEAN JOURNAL OF PHYSICS

DOI

https://doi.org/10.2478/s11534-008-0024-2

Collections

Department of Physics, Article

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Citation Formats

S. IKHDAİR and R. Sever, “Exact solutions of the D-dimensional Schrodinger equation for a ring-shaped pseudoharmonic potential,” CENTRAL EUROPEAN JOURNAL OF PHYSICS, pp. 685–696, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62627.