| 用因式分解法求解二维各向同性谐振子 |
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| 引用本文： | 张文英.用因式分解法求解二维各向同性谐振子[J].广西大学学报(自然科学版),1995,20(3):245-249. |
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| 作者姓名： | 张文英 |
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| 作者单位： | 广西大学物理系 |
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| 摘 要： | 将二维各向同性谐振子的径向薛定谔方程作变换后进行因式分解，得到两套阶梯算符，给出归一化系数的一般公式，确定能谱，计算径向波函数。
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| 关 键 词： | 各向同性 谐振子 薛定谔方程 因式分解法 |
Resolution of the Radial Schroedinger Equation of the Isotropic Two-Dimensional Harmonic Oscillator Through Factorization Method |
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| Zhang Wenying.Resolution of the Radial Schroedinger Equation of the Isotropic Two-Dimensional Harmonic Oscillator Through Factorization Method[J].Journal of Guangxi University(Natural Science Edition),1995,20(3):245-249. |
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| Authors: | Zhang Wenying |
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| Abstract: | Radial ladder operators of the quantum numbers n and m of the isotropic two-dimensional harmonic oscillator are found by factoring the radial Schroedinger equation of the system, after making a change of the equation.Eigenvalues of the energy and radial eigenfunctions are calculated with the ladder operators. |
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| Keywords: | isotropic two-dimensional harmonic oscillator radial Schroedinger equation radial ladder operator eigenvalue of the energy radial eigenfunction |
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