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, sa.3, ss.685-696, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 3
  • Basım Tarihi: 2008
  • Doi Numarası: 10.2478/s11534-008-0024-2
  • Dergi Adı: CENTRAL EUROPEAN JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.685-696
  • Anahtar Kelimeler: energy eigenvalues and eigenfunctions, pseudoharmonic potential, ring-shaped potential, non-central potentials, Nikiforov and Uvarov method, NIKIFOROV-UVAROV METHOD, QUANTUM-MECHANICAL OSCILLATOR, ORBITAL ANGULAR MOMENTUM, PATH-INTEGRAL SOLUTION, BETHE-SALPETER-EQUATION, KLEIN-GORDON EQUATION, N-EXPANSION METHOD, B-C MESON, BOUND-STATES, RELATIVISTIC KINEMATICS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

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.