| 谐振子和氢原子本征值问题的复坐标解法 |
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| 引用本文： | 姜迅东. 谐振子和氢原子本征值问题的复坐标解法[J]. 东北大学学报(自然科学版), 1987, 0(4) |
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| 作者姓名： | 姜迅东 |
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| 作者单位： | 东北工学院物理系 |
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| 摘 要： | 本文引入复坐标,表明该坐标与直角坐标、圆柱面坐标、平面极坐标及球面坐标之间的关系。以二维和三维谐振子及氢原子为例,分別给出这些量子系统的哈密顿量的复坐标及相应产生算符与湮灭算符的具体型式,并由此得到系统能级的表达式。
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| 关 键 词： | 谐振子 氢原子 本征值 复坐标 能级 |
Complex-Coordinate Solution for the Eigenvalues of Harmonic Oscillator and Hydrogen Atom |
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| Jiang Xundong. Complex-Coordinate Solution for the Eigenvalues of Harmonic Oscillator and Hydrogen Atom[J]. Journal of Northeastern University(Natural Science), 1987, 0(4) |
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| Authors: | Jiang Xundong |
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| Affiliation: | Jiang Xundong |
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| Abstract: | The complex coordinate system is introduced into the study and presentedin relations with such coordinate systems as rectangular,cylindrical,planarpolar and spherical.The two and three dimensional harmonic oscillators andhydrogen atom are instanced to specify the Hamiltonians of these quantumsystems in ccmplex coordinate system respectively,and,correspondingly,theexpressions of creation operators and annihilation operators.The expression ofenergy level of these systems are,therefore,given. |
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| Keywords: | harmonic oscillator hydrogen atom eigenvalue complex coordinate energy level |
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