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

摘要

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