| 双参数变形多模玻色算符的代数结构及其应用(Ⅰ) |
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| 引用本文： | 于肇贤,张德兴,刘业厚.双参数变形多模玻色算符的代数结构及其应用(Ⅰ)[J].中国物理 C,1997,21(11):999-1004. |
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| 作者姓名： | 于肇贤 张德兴 刘业厚 |
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| 作者单位： | 大庆石油学院电子工程系(于肇贤)，重庆石油高等专科学校(张德兴)，胜利油田职工大学(刘业厚) |
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| 摘 要： | 构造了两个满足量子Heisenberg-Weyl代数的双参数变形多模玻色算符,研究了它们的代数结构,作为应用,给出了双参数变形多模量子群SU(2)q,s和SU/(1,1)q,s的Holstein-Primakoff实现,并分别构造了这两个玻色算符二次幂的本征态,证明了它们的完备性.
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| 关 键 词： | 多模玻色算符 双参数变形 Holstein-Primakoff实现 完备性 |
Algbraic Structure of Two-Parameter Deformed Multi-Mode Bose Operators and Their Applications |
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| Abstract: | Two two-parameter deformed multi-mode boss operators which satisfy quantum Heisenberg-Weyl algebra are consbucted, and their algebraic structure. studied. As examples, the Holstein-Primokoff realizations for multi-node quantum. group SU(2)q,s. and SU(1,1) q. s are presented, and the eigenstates of the second power of the two-parameter deformed multi-mode bose operators are constructed, and their completenesses are proved. |
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| Keywords: | muld-mode bose operator two-parameter deformation Holstein-Primakoff realization completeness |
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