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

Rajendrasinh H. Parmar

Hale Yılmaz, Doğan Demirhan, Fevzi Büyükkılıç

B. J. Falaye, K. J. Oyewumi, M. Abbas

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.

Won Sang Chung, Shi‐Hai Dong, HASSAN HASSANABADI

Akaninyene Daniel Antia, Ita O. Akpan

We study the nonrelativistic Schrödinger equation for q-deformed Hulthen plus modified inversely quadratic Yukawa potential using the generalized parametric form of NIkiforov-Uvarov method. The energy eigenvalues and the corresponding normalized wave functions expressed in terms of hypergeometric function are obtained. We have also discussed four (4) special cases of this potential, i.e. Woods-Saxon, Hulthen, Morse and inversely quadratic potentials. Keywords: Nonrelativistic Schrödinger equation, q-deformed Hulthen potential, modified inversely quadratic Yukawa potential, parametric Nikiforov-Uvarov method.

Metin Aktaş, R. Sever

Exact solution of the Schrodinger equation with deformed ring shaped potential is obtained in the parabolic and spherical coordinates. The Nikiforov-Uvarov method is used in the solution. Eigenfunctions and corresponding energy eigenvalues are calculated analytically. The agreement of our results is good.