Analytical solution of D-dimensional radial Schrödinger equation for sexticpotential by the extended Nikiforov-Uvarov method and biconfluent Heunpolynomials

Authors

HASİBE HALE KARAYER

DOI

10.3906/fiz-1904-28

Abstract

D-dimensional radial Schrödinger equation (SE) for sextic potential is solved using the extended Nikiforov-Uvarov method analytically. Energy eigenvalue and eigenfunction solutions are achieved systematically. It is also presented that the D-dimensional radial SE is transformed to biconfluent Heun equation (BHE). Therefore the eigenfunction solutions for the potential are attained in terms of biconfluent Heun polynomials when the condition of existence of polynomial solution of BHE is provided simultaneously.

Keywords

D-dimensional Schrödinger equation, extended Nikiforov-Uvarov method, sextic potential, biconfluent Heun polynomials

First Page

410

Last Page

416

Recommended Citation

KARAYER, HASİBE HALE (2019) "Analytical solution of D-dimensional radial Schrödinger equation for sexticpotential by the extended Nikiforov-Uvarov method and biconfluent Heunpolynomials," Turkish Journal of Physics: Vol. 43: No. 4, Article 10. https://doi.org/10.3906/fiz-1904-28
Available at: https://journals.tubitak.gov.tr/physics/vol43/iss4/10