https://doi.org/10.1140/epjp/s13360-022-02755-y
Regular Article
Exact analytical solution of Schrödinger equation for a generalized noncentral potential
1
Department of Physics, Kırklareli University, 39100, Kırklareli, Turkey
2
Department of Physics, Ege Universty, 35100, İzmir, Turkey
a hale.karayer@klu.edu.tr, hale.karayer@gmail.com
Received:
6
March
2022
Accepted:
22
April
2022
Published online:
2
May
2022
Analytical eigenstate solution of Schrödinger equation for a modified ring-shaped oscillator potential is presented by using extended Nikiforov Uvarov method in cylindrical coordinates. The potential is a generalized form of ring-shaped oscillator potential, double-ring-shaped potential, double-ring-shaped harmonic oscillator potential, some extended class of Smorodinsky-Winternitz potentials, double-ring-shaped Coulomb oscillator potential and anisotropic ring-shaped oscillator potential. Bound-state solutions of the Schrödinger equation are obtained in terms of biconfluent Heun polynomials.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
