| Hartmann势Klein-Gordon方程的束缚态 |
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| 引用本文： | 陆法林.Hartmann势Klein-Gordon方程的束缚态[J].安徽师范大学学报(自然科学版),2005,28(1):42-47. |
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| 作者姓名： | 陆法林 |
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| 作者单位： | 盐城师范学院,物理系,江苏,盐城,224002 |
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| 基金项目： | Project Natural Science Foundation of the Education Bureau of Jiangsu Pvovince of China;; |
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| 摘 要： | 用分离变量方法讨论了在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Hartmann势的势参数有关.给出了用广义连带勒让得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.氢原子势是本文Hartmann势的特例.
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| 关 键 词： | Hartmann势 Klein-Gordon方程 标量势和矢量势 束缚态 hartmann potential klein-gordon equation scalar and vector potentials bound states Hartmann potential 方程 束缚态 POTENTIALS VECTOR SCALAR EQUATION STATES Hydrogen special cases energy spectrum equations angle radial wave function universal polynomial normalized hypergeometric function Properties |
BOUND STATES OF KLEIN-GORDON EQUATION FOR HARTMANN SCALAR AND VECTOR POTENTIALS |
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| LU Fa-lin.BOUND STATES OF KLEIN-GORDON EQUATION FOR HARTMANN SCALAR AND VECTOR POTENTIALS[J].Journal of Anhui Normal University(Natural Science Edition),2005,28(1):42-47. |
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| Authors: | LU Fa-lin |
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| Abstract: | By using the usual method of variable separation, bound states of Klein-Gordon equation with equal Hartmann scalar and vector potentials are solved. Properties of the system relate to three quantum numbers and parameters of Hartmann potential. The normalized angle wave function expressed in terms of the universal associated-Legendre polynomial and the normalized radial wave function expressed in terms of the confluent hypergeometric function are presented. The exacl energy spectrum equations are obtained. Bound states of Klein-Gordon equation for Hydrogen potential are special cases for the Hartmann potential in the Letter. |
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| Keywords: | hartmann potential klein-gordon equation scalar and vector potentials bound states |
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