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2008 | 6 | 3 | 685-696
Tytuł artykułu

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

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A new non-central potential, consisting of a pseudoharmonic potential plus another recently proposed ring-shaped potential, is solved. It has the form $$ V(r,\theta ) = \tfrac{1} {8}\kappa r_e^2 \left( {\tfrac{r} {{r_e }} - \tfrac{{r_e }} {r}} \right)^2 + \tfrac{{\beta cos^2 \theta }} {{r^2 sin^2 \theta }} $$. The energy eigenvalues and eigenfunctions of the bound-states for the Schrödinger 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.
Wydawca

Czasopismo
Rocznik
Tom
6
Numer
3
Strony
685-696
Opis fizyczny
Daty
wydano
2008-09-01
online
2008-07-17
Twórcy
  • Department of Physics, Near East University, Nicosia, TRNC, Mersin-10, Turkey, sikhdair@neu.edu.tr
  • Department of Physics, Middle East Technical University, 06531, Ankara, Turkey, sever@metu.edu.tr
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