Exact analytical solution of Schrödinger equation for a generalized noncentral potential
Department of Physics, Kırklareli University, 39100, Kırklareli, Turkey
2 Department of Physics, Ege Universty, 35100, İzmir, Turkey
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