Solutions of the Schrödinger equation with inversely quadratic Hellmann plus inversely quadratic potential using Nikiforov-Uvarov method

By using the Nikiforov-Uvarov (NU) method, the Schrödinger equation has been solved for the interaction of inversely quadratic Hellmann (IQHP) and inversely quadratic potential (IQP) for any angular momentum quantum number, l. The energy eigenvalues and their corresponding eigenfunctions have been o...

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Bibliographic Details
Main Authors: Ita, B I, Ehi-Eromosele, C O, Edobor-Osoh, A, Ikeuba, A I
Format: Conference Proceeding
Language:English
Subjects:
ANGULAR MOMENTUM
CALCULATION METHODS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
EIGENFUNCTIONS
EIGENVALUES
Eigenvectors
MATHEMATICAL SOLUTIONS
Polynomials
POTENTIALS
Schrodinger equation
SCHROEDINGER EQUATION
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Summary:By using the Nikiforov-Uvarov (NU) method, the Schrödinger equation has been solved for the interaction of inversely quadratic Hellmann (IQHP) and inversely quadratic potential (IQP) for any angular momentum quantum number, l. The energy eigenvalues and their corresponding eigenfunctions have been obtained in terms of Laguerre polynomials. Special cases of the sum of these potentials have been considered and their energy eigenvalues also obtained.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4902294