Arbitrary l-state Solution of the Schrödinger Equation for q-deformed Attractive Radial Plus Coulomb-like Molecular Potential within the Framework of NU-Method
Benedict Iserom Ita
Physical and Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, Calabar, Nigeria
Louis Hitler *
Physical and Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, Calabar, Nigeria and National Centre for Nanoscience and Technology, University of Chinese Academy of Sciences, Beijing, China
Innocent Joseph
Department of Chemistry, Modibbo Adama University of Technology, Yola, Nigeria
Ikeuba Alexander
Physical and Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, Calabar, Nigeria
Pigweh Isa Amos
Department of Chemistry, Modibbo Adama University of Technology, Yola, Nigeria
Magu Thomas Odey
Physical and Theoretical Chemistry Research Group, Department of Pure and Applied Chemistry, University of Calabar, Calabar, Nigeria
*Author to whom correspondence should be addressed.
Abstract
The Schrödinger equation in one dimension for the q-deformed attractive radial plus coulomb-like molecular potential (ARCMP) is solved approximately to obtain bound states eigen solutions using the parametric Nikiforov-Uvarov (NU) method. The corresponding unnormalized eigen functions are evaluated in terms of Jacobi polynomials. Interestingly, the resulting eigen energy equations can be used to study the spectroscopy of some selected diatomic atoms and molecules.
Keywords: q-deformed potential, attractive radial, coulomb-like, Schrödinger