Abstract

WILLIAM, E. S.; INYANG, E. P.  and  THOMPSON, E. A.. Arbitrary l -solutions of the Schrödinger equation interacting with Hulthén-Hellmann potential model. Rev. mex. fis. [online]. 2020, vol.66, n.6, pp.730-741.  Epub Jan 31, 2022. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.66.730.

In this study, we obtain bound state solutions of the radial Schrödinger equation by the superposition of Hulthén and Hellmann potentials within the framework of Nikiforov-Uvarov (NU) method for arbitrary-state, with the Greene-Aldrich approximation for the centrifugal term. We also obtain the corresponding normalized wave functions expressed in terms of Jacobi polynomials for a particle exposed to this potential field. Explicitly, we have computed the numerical energy eigenvalues of different quantum states. Besides, we consider six exceptional cases of the potential and obtained their energy eigenvalues. Our results are in excellent agreement with the results in the literature. The behavior of the energy for the ground state and several excited states is illustrated graphically.

Keywords : Schrödinger equation; Nikiforov-Uvarov method; eigenvalues; eigenfunction; Hulthén-Hellmann potential.

        · text in English     · English ( pdf )