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Title: Analytical solutions of a generalized non-central potential in N-dimensions

We present that N-dimensional non-relativistic wave equation for the generalized non-central potential with arbitrary angular momentum is analytically solvable in the hyperspherical coordinates. Asymptotic iteration method as a different approach is applied to obtain N-dimensional energy eigenvalues and the corresponding eigenfunctions. In hyperspherical coordinates, the wave function solutions are obtained in terms of hypergeometric functions and Jacobi polynomials. The bound states of quantum systems under consideration for some special cases, such as Hartmann and Makarov potentials, have been discussed in N-dimensions.
Authors:
 [1] ;  [2]
  1. Department of Physics, Erciyes University, Kayseri 38039 (Turkey)
  2. Institute of Science, Erciyes University, Kayseri 38039 (Turkey)
Publication Date:
OSTI Identifier:
22305858
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 10; 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; ANALYTICAL SOLUTION; ANGULAR MOMENTUM; CENTRAL POTENTIAL; CURVILINEAR COORDINATES; EIGENFUNCTIONS; EIGENVALUES; HYPERGEOMETRIC FUNCTIONS; POLYNOMIALS; WAVE EQUATIONS