Arbitrary l-solutions of the Schrödinger equation interacting with Hulthén – Hellmann potential model

E. S. William, E. P. Inyang, E. A. Thompson


In this study, we obtained bound state solutions of the radial Schrödinger equation by the superposition of Hulthén plus Hellmann potential within the framework of Nikiforov-Uvarov (NU) method for an arbitrary  - states. The corresponding normalized wave functions expressed in terms of Jacobi polynomial for a particle exposed to this potential field was also obtained. The numerical energy eigenvalues for different quantum state have been computed. Six special cases are also considered and their energy eigenvalues are obtained. Our results are found to be in good agreement with the results in literature. The behavior of energy in the ground and excited state for different quantum state are studied graphically.


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

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