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一类新的环状非有心谐振子势的精确解

陈发堂 张民仓

陕西师范大学学报:自然科学版2011,Vol.39Issue(4):29-33,5.
陕西师范大学学报:自然科学版2011,Vol.39Issue(4):29-33,5.

一类新的环状非有心谐振子势的精确解

Exact solutions of the Schrdinger equation for a new ring-shaped noncentral potential

陈发堂 1张民仓2

作者信息

  • 1. 上海电力学院数理系,上海200090
  • 2. 陕西师范大学物理学与信息技术学院,陕西西安710062
  • 折叠

摘要

Abstract

A new ring-shaped noncentral potential is proposed.The exactly complete solutions of the Schrdinger equation with this model potential are presented by the Nikiforov-Uvarov(N-U)method.It is shown that the component of bound state wavefunction could be expressed by the generalized ultraspherical polynomial or the hypergeometric function,and the radial component is given in terms of the associated Laguerre polynomial.Finally,the effect of the angle-dependent part on the radial solutions and several particular cases of this potential are also dicussed.

关键词

环状非有心势/Schrdinger方程/束缚态/Nikiforov-Uvarov方法

Key words

ring-shaped noncentral potential/Schrdinger equation/bound state/Nikiforov-Uvarov method

分类

物理学

引用本文复制引用

陈发堂,张民仓..一类新的环状非有心谐振子势的精确解[J].陕西师范大学学报:自然科学版,2011,39(4):29-33,5.

基金项目

上海市自然科学基金资助项目 ()

上海市教委科研创新基金资助项目 ()

陕西师范大学学报:自然科学版

OA北大核心CSCDCSTPCD

1672-4291

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