双参数变形多模玻色算符的代数结构及其应用(Ⅰ)  

Algbraic Structure of Two-Parameter Deformed Multi-Mode Bose Operators and Their Applications

作　　者：于肇贤[1] 张德兴[1] 刘业厚[1] 

机构地区：[1]大庆石油学院电子工程系,重庆石油高等专科学校,胜利油田职工大学

出　　处：《高能物理与核物理》1997年第11期999-1004,共6页High Energy Physics and Nuclear Physics

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。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.

关 键 词：多模玻色算符 双参数变形 量子群 量子代数 

分 类 号：O413[理学—理论物理]