Closed Analytical Solutions of the D-Dimensional Schrödinger Equation with Deformed Woods–Saxon Potential Plus Double Ring-Shaped Potential-Reference-Cited by-同舟云学术

Closed Analytical Solutions of the D-Dimensional Schrödinger Equation with Deformed Woods–Saxon Potential Plus Double Ring-Shaped Potential

Published:2015-12-10 Issue:1 Volume:71 Page:59-68
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Chabab Mohamed¹,El Batoul Abdelwahed²,Oulne Mustapha²

Affiliation:

1. High Energy Physics and Astrophysics Laboratory, Faculty of Sciences Semlalia, Department of Physics, Cadi Ayyad University, P.O.B. 2390, Marrakesh 40000, Morocco

2. High Energy Physics and Astrophysics Laboratory, Faculty of Sciences Semlalia, Department of Physics, Cadi Ayyad University, P.O.B. 2390, Marrakesh 40000, Morocco, E-mail: (A. El Batoul), (M. Oulne)

Abstract

Abstract By employing the Pekeris approximation, the D-dimensional Schrödinger equation is solved for the nuclear deformed Woods–Saxon potential plus double ring-shaped potential within the framework of the asymptotic iteration method (AIM). The energy eigenvalues are given in a closed form, and the corresponding normalised eigenfunctions are obtained in terms of hypergeometric functions. Our general results reproduce many predictions obtained in the literature, using the Nikiforov–Uvarov method (NU) and the improved quantisation rule approach, particularly those derived by considering Woods–Saxon potential without deformation and/or without ring shape interaction.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2015-0136/pdf

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