| 三维各向同性谐振子的升降算符 |
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| 引用本文： | 刘冰,张立红. 三维各向同性谐振子的升降算符[J]. 西安石油大学学报(自然科学版), 2005, 20(2): 86-88 |
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| 作者姓名： | 刘冰 张立红 |
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| 作者单位： | 石油大学,应用物理系,山东,东营,257061 |
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| 摘 要： | 利用特殊函数关系式以及算符r,1r,ddr对径向函数的作用结果, 得出三维各向同性谐振子的径向算符,便于求解力学量的平均值.重新定义其升降算符,便于求解矩阵元.
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| 关 键 词： | 三维各向同性谐振子 径向算符 升降算符 |
| 文章编号： | 1673-064X(2005)02-0086-03 |
| 修稿时间： | 2004-01-13 |
Ladder operators of a three-dimensional isotropic harmonic oscillator |
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| LIU Bing,ZHANG Li-hong. Ladder operators of a three-dimensional isotropic harmonic oscillator[J]. Journal of Xian Shiyou University, 2005, 20(2): 86-88 |
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| Authors: | LIU Bing ZHANG Li-hong |
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| Abstract: | The radial operators of a three-dimensional isotropic oscillator are derived using relational expressions of special functions, the effect results of operators r, 1/r, d/dr on radial wave function. The average values of mechanical quantities can be obtained based on the radial operators. Furthermore, the ladder operators are given, which is helpful to the calculation of matrix elements. |
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| Keywords: | three-dimensional isotropic harmonic oscillator radial operator ladder operator |
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