Approximate Bound State Solutions of the Hellmann Plus Kratzer Potential in N-dimensional Space

Authors : Aysel ÖZFİDAN

Pages : 791-804

Doi:10.35378/gujs.672684

View : 19 | Download : 9

Publication Date : 2020-09-01

Article Type : Research Paper

Abstract :We have examined the approximate l_insert ignore into journalissuearticles values(N-1);-state solutions of the N-dimensional Schrödinger equation for a particle interacting with the Hellmann plus Kratzer potential. In hyperspherical coordinate system, we have constructed the bound state energy equation and the wavefunctions expressed by the hypergeometric function via the asymptotic iteration approach in detail. When considered the special cases of parameters in Hellmann plus Kratzer potential, this potential turns into several potential models. In this connection, the non-relativistic energy spectra for the modified Kratzer, Yukawa, Coulomb and Hellmann potentials in approximate analytic form have been obtained in hyperspherical coordinates. We have presented the numerical energy eigenvalues for the Hellmann, Yukawa and Coulomb potentials in N=3 dimensions. Our present results provide an appropriate test of the accuracy of asymptotic iteration formalism.
Keywords : Hellmann, Kratzer, N dimensions