| Louck多项式,Hermite多项式和调和振子 |
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| 引用本文： | 杨玲玲,李俊青.Louck多项式,Hermite多项式和调和振子[J].南开大学学报,2010,43(6). |
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| 作者姓名： | 杨玲玲 李俊青 |
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| 作者单位： | 杨玲玲,Yang Lingling(天津大学,理学院,天津300072);李俊青,Li Junqing(南开大学经济学院,天津,300071) |
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| 摘 要： | 首先介绍了指数算子、Louck多项式和Hermite多项式以及它们之间的内在关联.然后指出了Louck多项式、Hermite多项式和调和振子之间的关系.最后用标准梯方法和King方法讨论了单一调和振子的特征方程和特征值.Abstract：The exponential operator eA,Louck polynomials and Hermite polynomials as well as their rela tionships are first introduced.Then,the relationships between Louck polynomials,Hermite polynomials and harmonic oscillators are presented.Finally,the eigenfunctions and eigenvalues of a single harmonic oscillator are discussed by using two methods,the standard ladder method and a King's method.
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| 关 键 词： | Louck多项式 Hermite多项式 调和振子 指数算子 |
Louck Polynomials, Hermite Polynomials and Harmonic Oscillators |
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| Yang Lingling,Li Junqing.Louck Polynomials, Hermite Polynomials and Harmonic Oscillators[J].Acta Scientiarum Naturalium University Nankaiensis,2010,43(6). |
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| Authors: | Yang Lingling Li Junqing |
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