Exact solution of Schrödinger equation with q-deformed quantum potentials using Nikiforov–Uvarov method

doi:10.1088/1674-1056/22/11/110301

Abstract In this paper, we present the exact solution of the one-dimensional Schrödinger equation for the q-deformed quantum potentials via the Nikiforov–Uvarov method. The eigenvalues and eigenfunctions of these potentials are obtained via this method. The energy equations and the corresponding wave functions for some special cases of these potentials are briefly discussed. The PT-symmetry and Hermiticity for these potentials are also discussed.

Keywords: Schrödinger equation q-deformed quantum potential Woods–Saxon potential Nikiforov–Uvarov method

Received: 17 February 2013
Revised: 14 May 2013
Accepted manuscript online:

PACS:	03.65.Ge	(Solutions of wave equations: bound states)
	03.65.Fd	(Algebraic methods)

Corresponding Authors: Falaye B. J., Oyewumi K. J., Abbas M.
E-mail: fbjames11@physicist.net;kjoyewumi66444@unilorin.edu.ng;maphysik@yahoo.com

Cite this article:

Falaye B. J., Oyewumi K. J., Abbas M. Exact solution of Schrödinger equation with q-deformed quantum potentials using Nikiforov–Uvarov method 2013 Chin. Phys. B 22 110301

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Exact solution of Schrödinger equation with q-deformed quantum potentials using Nikiforov–Uvarov method

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