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

被引：6

作者：

Chabab, Mohamed ^{[1
]}

El Batoul, Abdelwahed ^{[1
]}

Oulne, Mustapha ^{[1
]}

机构：

[1] Cadi Ayyad Univ, Dept Phys, Fac Sci Semlalia, High Energy Phys & Astrophys Lab, Marrakech 40000, Morocco

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2016年 / 71卷 / 01期

关键词：

Asymptotic Iteration Method; D-Dimensional Space; Double Ring-Shape; Schrodinger Equation; Woods-Saxon Potential; EXACTLY COMPLETE SOLUTIONS; L-STATE SOLUTIONS; QUANTIZATION; SPECTRUM; SYSTEMS; NUCLEI; MODEL;

D O I：

10.1515/zna-2015-0136

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

By employing the Pekeris approximation, the D-dimensional Schrodinger 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 eigen-values 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.

引用

页码：59 / 68

页数：10

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