| 三维各向同性谐振子实现量子群SUq（3） |
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| 引用本文： | 郭江贵,王维玺.三维各向同性谐振子实现量子群SUq（3）[J].内蒙古大学学报(自然科学版),1997,28(5):641-645. |
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| 作者姓名： | 郭江贵 王维玺 |
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| 作者单位： | 内蒙古大学物理学系 |
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| 摘 要： | 给定三维各向同性谐振子的ｑ变形产生湮灭算符，用这些算符构造出ＳＵｑ（３）的生成元，实现了量子群ＳＵｑ（３）。讨论了嵌入的ｅ０和ｆ０指出也能同样的各向同性的三维谐振子实现量子包络圈代数ＳＵｑ（３）。
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| 关 键 词： | 三维 各向同性 谐振子 算符 生成元 量子群 |
A Realisation of the Quantum Group SU q(3) by Means of Three Dimensional Isotropy Harmonic Oscillator |
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| Guo Jianggui,Wang Weixi.A Realisation of the Quantum Group SU q(3) by Means of Three Dimensional Isotropy Harmonic Oscillator[J].Acta Scientiarum Naturalium Universitatis Neimongol,1997,28(5):641-645. |
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| Authors: | Guo Jianggui Wang Weixi |
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| Abstract: | Q deformed creation and annihilation operator of three dimensional isotropy harmonic oscillator are given.By using these operators,generators of SU q(3) are constructed.A realisation of the quantum group SU q(3) is achieved.The embedding e 0 and f 0 is discussed.It is pointed out that the quantum enveloping loop algebra S q(3) can also be realised by means of the same three dimensional isotropy harmonic oscillator. |
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| Keywords: | three dimensional harmonic oscillator operator generator quantum group |
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