Analytical solution of D-dimensional radial Schrödinger equation for sextic potential by the extended Nikiforov-Uvarov method and biconfluent Heun polynomials

Authors : Hasibe Hale KARAYER

Pages : 410-416

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :D-dimensional radial Schrödinger equation insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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