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


How to Cite

Iserom Ita, B., Hitler, L., Joseph, I., Alexander, I., Isa Amos, P., & Thomas Odey, M. (2017). Arbitrary l-state Solution of the Schrödinger Equation for q-deformed Attractive Radial Plus Coulomb-like Molecular Potential within the Framework of NU-Method. Physical Science International Journal, 16(4), 1–6. https://doi.org/10.9734/PSIJ/2017/38034

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