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


IKHDAİR S., Sever R.

CENTRAL EUROPEAN JOURNAL OF PHYSICS, cilt.6, ss.685-696, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 6 Konu: 3
  • Basım Tarihi: 2008
  • Doi Numarası: 10.2478/s11534-008-0024-2
  • Dergi Adı: CENTRAL EUROPEAN JOURNAL OF PHYSICS
  • Sayfa Sayıları: ss.685-696

Özet

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.