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



Document title: Arbitrary l-solutions of the Schrödinger equation interacting with Hulthén-Hellmann potential model
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000453982
ISSN: 0035-001X
Authors: 1
1
1
Institutions: 1University of Calabar, Department of Physics, Calabar, Cross River. Nigeria
Year:
Season: Nov-Dic
Volumen: 66
Number: 6
Pages: 730-741
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract 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
Disciplines: Física y astronomía
Keyword: Física,
Ecuación de Schrodinger,
Método Nikiforov-Uvarov,
Eigenvalores,
Eigenfunciones,
Potencial Hulthén-Hellmann
Keyword: Schrödinger equation,
Nikiforov-Uvarov method,
Eigenvalues,
Eigenfunction,
Hulthen-Hellmann potential
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