双参数变形多模玻色算符的代数结构及其应用(Ⅲ)  

Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅲ)

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,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》1998年第3期225-233,共9页High Energy Physics and Nuclear Physics

摘　　要：构造了双参数变形多模玻色算符高次幂的本征态，发现它们构成完备Ｈｉｌｂｅｒｔ空间，另外，还给出了双参数变形量子代数ＳＬｑ，ｓ（３）的数学结构、玻色实现以及Ｓｌｑ，ｓ（２）的阶类张量算符，指出将ＳＬｑ，ｓ（３）的上述结果推广到多模情况是容易的。The eigenstates of the higher power of the two-paranneter deformed multi-mode bose opcmtors are constructed. It is found that they form a complete Hilbert space Further more, the mathematical structure and the corresponding boson realization of the two-parameterr deformed quantum algebra SL, (3) are given, and the 1/ 2 ratk tensor-like operators of SLq.s(2) are also presented. It is pointed out that the results of SL(3) is easily generalized to a multi-mode case.

关 键 词：多模玻色算符 本征态 量子代数 张量算符 

分 类 号：O413[理学—理论物理]