| 谐振子的Klein-Gordon方程束缚态解及径向波函数的二类递推关系 |
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| 引用本文： | 陈子樑,陈子栋. 谐振子的Klein-Gordon方程束缚态解及径向波函数的二类递推关系[J]. 南昌大学学报(理科版), 2006, 30(3): 290-292 |
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| 作者姓名： | 陈子樑 陈子栋 |
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| 作者单位： | 绍兴行政学院,基础理论部,浙江,绍兴,312000;绍兴行政学院,物理系,浙江,绍兴,312000 |
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| 摘 要： | 应用Lap lace变换求解出在谐振子标量势与矢量势相等的条件下其径向K le in-Gordon方程的束缚态解,并得到谐振子在相对论条件下的能量方程,在此基础上用Lap lace变换得到了径向波函数的角量子数及主量子数的二类递推关系。
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| 关 键 词： | 谐振子 Klein-Gorgon方程 束缚态 递推关系 Laplace变换 |
| 文章编号： | 1006-0464（2006）03-0290-03 |
| 收稿时间： | 2005-05-16 |
| 修稿时间： | 2005-05-16 |
Bound State Solutions and Recursion Relation of Radial Wave-functions for the Klein-Gordon Equation with the Harmonic Oscillator |
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| CHEN Zi-liang,CHEN Zi-dong. Bound State Solutions and Recursion Relation of Radial Wave-functions for the Klein-Gordon Equation with the Harmonic Oscillator[J]. Journal of Nanchang University(Natural Science), 2006, 30(3): 290-292 |
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| Authors: | CHEN Zi-liang CHEN Zi-dong |
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| Affiliation: | a. Department of Basic Theory,Shaoxing Administration College; b. Department of Physics,Shaoxing College of Arts and Sciences, Shaoxing 312000, China |
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| Abstract: | The Laplace transforms is used to solve the Klein-Gordon equation under the condition that the harmonic oscillator-type scalar potential is equal to its vector potential and obtain its relativistic energy equation.Based on above developments two kinds of recursion relations of radial wave functions given by only the 'principal' and 'angular-momentum' quantum numbers are derived. |
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| Keywords: | harmonic oscillator Klein-Gordon equation bound state recursion relation Laplace transforms |
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