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

E. S. William | Zendy; E. P. Inyang | Zendy; E. A. Thompson | Zendy

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

Author(s) -

E. S. William,

E. P. Inyang,

E. A. Thompson

Publication year - 2020

Publication title -

revista mexicana de física

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.181

H-Index - 25

eISSN - 2683-2224

pISSN - 0035-001X

DOI - 10.31349/revmexfis.66.730

Subject(s) - eigenvalues and eigenvectors , superposition principle , physics , excited state , bound state , schrödinger equation , wave function , woods–saxon potential , quantum , ground state , quantum mechanics , polynomial , state (computer science) , quantum superposition , mathematical physics , energy (signal processing) , field (mathematics) , mathematical analysis , mathematics , scattering , pure mathematics , algorithm

In this study, we obtained bound state solutions of the radial Schrodinger equation by the superposition of Hulthen 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.

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