| 一般Hartmann势Klein-Gordon方程的束缚态 |
| |
| 引用本文： | 陆法林,陈红霞,陈昌远.一般Hartmann势Klein-Gordon方程的束缚态[J].原子与分子物理学报,2005,22(3):443-448. |
| |
| 作者姓名： | 陆法林 陈红霞 陈昌远 |
| |
| 作者单位： | 盐城师范学院物理系,盐城,224002 |
| |
| 基金项目： | 江苏省教育厅自然科学基金(02KJB140007) |
| |
| 摘 要： | 用分离变量方法讨论了在一般Hartmann标量势和矢量势相等条件下Klein-Gordon方程的束缚态解.体系的性质与三个量子数及一般Hartmann势的势参数有关.给出了用广义连带勒让德多项式表示的归一化角向波函数和用合流超几何函数表示的归一化径向波函数,获得了精确的束缚态能谱方程.氢原子势、类氢原子势和Hartmann势是本文一般Hartmann势的三个特例.
|
| 关 键 词： | 一般Hartmann势 Klein-Gordon方程 标量势和矢量势 束缚态 |
| 文章编号： | 1000-0364（2005）03-0443-06 |
| 收稿时间： | 10 10 2004 12:00AM |
| 修稿时间： | 2004-10-10 |
Bound states of Klein-Gordon equation for generalized Hartmann potentials |
| |
| LU Fa-lin,CHEN Hong-xia,CHEN Chang-Yuan.Bound states of Klein-Gordon equation for generalized Hartmann potentials[J].Journal of Atomic and Molecular Physics,2005,22(3):443-448. |
| |
| Authors: | LU Fa-lin CHEN Hong-xia CHEN Chang-Yuan |
| |
| Abstract: | By using the usual method of variable separation, bound states of Klein-Gordon equation with equal generalized Hartmann scalar and vector potentials are solved. Properties of the system relate to three quantum numbers and parameters of generalized Hartmann potential. The normalized angle wave function expressed in terms of the universal associated-Legendre polynomial and normalized radial wave function expressed in terms of the confluent hypergeometric function are presented. The exact energy spectrum equations are obtained. Hydrogen potential, hydrogen-like potential and Hartmann potential are three special eases for generalized Hartmann potential in the Letter. |
| |
| Keywords: | Generalized Hartmann potential Klein-Gordon equation Scalar and vector potentials Bound states |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《原子与分子物理学报》浏览原始摘要信息 |
| 点击此处可从《原子与分子物理学报》下载免费的PDF全文 |
