Solutions of the Schrödinger equation with inversely quadratic effective plus Mie-type potential using Nikiforov-Uvarov method

Journal Article · Wed Nov 12 00:00:00 EST 2014 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4902278· OSTI ID:22390603

Ita, B. I. ^[1]; Ehi-Eromosele, C. O.; Edobor-Osoh, A. ^[2]; Ikeuba, A. I. ^[3]; Anake, T. A. ^[4]

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1. Physical/Biophysical Chemistry Unit, Chemistry Department, Covenant University, Ota, Ogun State, Nigeria and Theoretical Quantum Chemistry Unit, Chemistry Department, University of Calabar, Calabar (Nigeria)
2. Physical/Biophysical Chemistry Unit, Chemistry Department, Covenant University, Ota, Ogun State (Nigeria)
3. Theoretical Quantum Chemistry Unit, Chemistry Department, University of Calabar, Calabar (Nigeria)
4. Mathematics Department, Covenant University, Ota, Ogun State (Nigeria)

The Schrödinger equation with the interaction of inversely quadratic effective and Mie-type potential has been solved for any angular momentum quantum number l using the Nikiforov-Uvarov method. The bound state energy eigenvalues and the corresponding un-normalized eigenfunctions are obtained in terms of the Laguerre polynomials. Several cases of the potential are also considered and their eigen values obtained.

• OSTI ID: 22390603
• Journal Information: AIP Conference Proceedings, Vol. 1629, Issue 1; Conference: AMiTaNS 14: 6. International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, Albena (Bulgaria), 26 Jun - 1 Jul 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
BOUND STATE
CALCULATION METHODS
EIGENFUNCTIONS
EIGENVALUES
MATHEMATICAL SOLUTIONS
POTENTIALS
SCHROEDINGER EQUATION