Analytical eigenstate solutions of Schrodinger equation with noncentral generalized oscillator potential by extended Nikiforov-Uvarov method

Exact eigenstate solutions of Schrodinger equation for a generalized oscillator system that includes, as special cases; ring shaped oscillator potential and isotropic harmonic oscillator potential are examined in an analytical treatment by using extended Nikiforov Uvarov method. Radial and angular parts of the Schrodinger equation for the relevant potential can be systematically solved in the same manner. Moreover the relation between the eigenfunction solutions for this potential and Heun polynomials are presented. (C) 2021 Elsevier B.V. All rights reserved.