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



Título del documento: Arbitrary l-solutions of the Schrödinger equation interacting with Hulthén-Hellmann potential model
Revue: Revista mexicana de física
Base de datos: PERIÓDICA
Número de sistema: 000453982
ISSN: 0035-001X
Autores: 1
1
1
Instituciones: 1University of Calabar, Department of Physics, Calabar, Cross River. Nigeria
Año:
Periodo: Nov-Dic
Volumen: 66
Número: 6
Paginación: 730-741
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés 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
Disciplinas: Física y astronomía
Palabras clave: 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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