| 借助于四维坐标的球极平面投影验证SO(4,2)与SU(2,2)间的同态特性 |
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| 引用本文： | 李富斌. 借助于四维坐标的球极平面投影验证SO(4,2)与SU(2,2)间的同态特性[J]. 辽宁大学学报(自然科学版), 1992, 0(1) |
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| 作者姓名： | 李富斌 |
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| 作者单位： | 中国矿业大学数力系 |
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| 摘 要： | 本文借助于四维坐标的球极平面投影,将氢原子变换为一个六维空间中的一个四维谐振子。从而验证了SO(4,2)与SU(2,2)之间的同态特性。
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| 关 键 词： | 球极平面投影方法 欧几里德空间 泡利自旋矩阵 复矩阵 同态特性 SO(2 1)的群生成元 |
Demonstrated Homomorphic Characteristic Between SO(4,2) and SU(2,2) by Stereographically Projecting of Four-dimensional Coordinates |
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| Li Fubin Chines University of Mining Technology. Demonstrated Homomorphic Characteristic Between SO(4,2) and SU(2,2) by Stereographically Projecting of Four-dimensional Coordinates[J]. Journal of Liaoning University(Natural Sciences Edition), 1992, 0(1) |
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| Authors: | Li Fubin Chines University of Mining Technology |
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| Affiliation: | Li Fubin Chines University of Mining Technology |
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| Abstract: | By stereographically prozecting in gour-dimensional coordinates transgorms the hydrogen atom into a gour-dimensional harmonic oscillator in a six-dimensional space, the homomorphism getween SO(4,2) and SU(2,2) is txplicitiy demonstrated. |
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| Keywords: | Stereographically projecting technique Euclidean space Pauling's spin matrix Complex matrix Homomorphic characteristic Generating element of SO(2 1) group. |
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