Solutions of the Schrödinger equation with inversely quadratic Hellmann plus inversely quadratic potential using Nikiforov-Uvarov method

Journal Article · Tue Nov 11 23:00:00 EST 2014 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4902294· OSTI ID:22390609

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

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

By using the Nikiforov-Uvarov (NU) method, the Schrödinger equation has been solved for the interaction of inversely quadratic Hellmann (IQHP) and inversely quadratic potential (IQP) for any angular momentum quantum number, l. The energy eigenvalues and their corresponding eigenfunctions have been obtained in terms of Laguerre polynomials. Special cases of the sum of these potentials have been considered and their energy eigenvalues also obtained.

• OSTI ID: 22390609
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1629; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

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