| 幂坐标矩阵元通式中的求和重数 |
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| 引用本文： | 卢书城. 幂坐标矩阵元通式中的求和重数[J]. 大学物理, 1996, 15(4): 28-31 |
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| 作者姓名： | 卢书城 |
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| 作者单位： | 上海师范大学物理系 |
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| 摘 要： | 对于一维谐振子、三维各向同性谐振子和氢原子这三个量子体系，本用逐次分部积分法给出了幂（径向）坐标矩阵元的新通式，并论证在这三类通式中所需的示放重数分别为１，１和２。
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| 关 键 词： | 坐标算符 矩阵元 求和重数 量子力学 |
NUMBER OF SUMMATION SIGNS IN GENERAL FORMULA OF MATRIX ELEMENTS OF ARBITRARY POWER OF COORDINATE OPERATOR |
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| Lu Shucheng. NUMBER OF SUMMATION SIGNS IN GENERAL FORMULA OF MATRIX ELEMENTS OF ARBITRARY POWER OF COORDINATE OPERATOR[J]. College Physics, 1996, 15(4): 28-31 |
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| Authors: | Lu Shucheng |
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| Abstract: | Using partial integration,three new general formulae of the matrix elements of arbitrary power of coordinate (or radial one)operator for linear harmonic oscillator,spherical harmonic oscillator and hydrogen atom are presented respectively.The number of summation signs needed for expressing these general formulae is proved to be 1,1 and 2. |
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| Keywords: | coordinate operator matrix element number of summation signs |
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