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

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

中国物理B ›› 2013, Vol. 22 ›› Issue (11): 110301-110301.doi: 10.1088/1674-1056/22/11/110301

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

Falaye B. J.^a, Oyewumi K. J.^a, Abbas M.^b

a Theoretical Physics Section, Department of Physics University of Ilorin, P. M. B. 1515, Ilorin, Nigeria;
b Physics Department, Kebbi State University of Science and Technology, P. M. B. 1144, Aliero, Nigeria

收稿日期:2013-02-17 修回日期:2013-05-14 出版日期:2013-09-28 发布日期:2013-09-28

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

Falaye B. J.^a, Oyewumi K. J.^a, Abbas M.^b

a Theoretical Physics Section, Department of Physics University of Ilorin, P. M. B. 1515, Ilorin, Nigeria;
b Physics Department, Kebbi State University of Science and Technology, P. M. B. 1144, Aliero, Nigeria

Received:2013-02-17 Revised:2013-05-14 Online:2013-09-28 Published:2013-09-28
Contact: Falaye B. J., Oyewumi K. J., Abbas M. E-mail:fbjames11@physicist.net;kjoyewumi66444@unilorin.edu.ng;maphysik@yahoo.com

摘要/Abstract

摘要： 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.

关键词: Schrödinger equation, q-deformed quantum potential, Woods–Saxon potential, Nikiforov–Uvarov method

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.

Key words: Schrödinger equation, q-deformed quantum potential, Woods–Saxon potential, Nikiforov–Uvarov method

中图分类号: (Solutions of wave equations: bound states)

03.65.Ge

03.65.Fd (Algebraic methods)

Falaye B. J., Oyewumi K. J., Abbas M.. Exact solution of Schrödinger equation with q-deformed quantum potentials using Nikiforov–Uvarov method[J]. 中国物理B, 2013, 22(11): 110301-110301.

Falaye B. J., Oyewumi K. J., Abbas M.. Exact solution of Schrödinger equation with q-deformed quantum potentials using Nikiforov–Uvarov method[J]. Chin. Phys. B, 2013, 22(11): 110301-110301.

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

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

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