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Title: Extension of Nikiforov-Uvarov method for the solution of Heun equation

We report an alternative method to solve second order differential equations which have at most four singular points. This method is developed by changing the degrees of the polynomials in the basic equation of Nikiforov-Uvarov (NU) method. This is called extended NU method for this paper. The eigenvalue solutions of Heun equation and confluent Heun equation are obtained via extended NU method. Some quantum mechanical problems such as Coulomb problem on a 3-sphere, two Coulombically repelling electrons on a sphere, and hyperbolic double-well potential are investigated by this method.
Authors:
; ;  [1]
  1. Department of Physics, Faculty of Science, Ege University, Bornova, 35100 Izmir (Turkey)
Publication Date:
OSTI Identifier:
22479693
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 6; Other Information: (c) 2015 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; DIFFERENTIAL EQUATIONS; EIGENVALUES; MATHEMATICAL SOLUTIONS; POLYNOMIALS; POTENTIALS; QUANTUM MECHANICS