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

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.
Authors:
 [1] ; ;  [2] ;  [3]
  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)
Publication Date:
OSTI Identifier:
22390609
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1629; Journal 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)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANGULAR MOMENTUM; CALCULATION METHODS; EIGENFUNCTIONS; EIGENVALUES; MATHEMATICAL SOLUTIONS; POTENTIALS; SCHROEDINGER EQUATION