Single boson realizations of the deformed angular momentum algebra of Witten's types  

作　　者：HUANG HuaJun RUAN Dong 

机构地区：[1]Department of Physics,Tsinghua University

出　　处：《Chinese Science Bulletin》2013年第18期2039-2043,共5页

基　　金：supported by the National Basic Research Program of China(2009CB929402)

摘　　要：By generalizing the Holstein-Primakoff realization and the Dyson realization of the Lie algebra SU(2),various realizations of the deformed angular momentum algebra Rc0,c1,c2q,s,a five-parameter deformed SU(2) by combining Witten's two deformation schemes,are investigated in terms of the single boson and the single inversion boson respectively.For each kind,the unitary realization,the non-unitary realization,and their connection by the corresponding similarity transformation are respectively discussed.By generalizing the Holstein-Primakoff realization and the Dyson realization of the Lie algebra SU（2）, various realizations of the deformed angular momentum algebra Rc0,c1,c2,q,s, a five-parameter deformed SU（2） by combining Witten＇s two deformation schemes, are investigated in terms of the single boson and the single inversion boson respectively. For each kind, the unitary realization, the non-unitary realization, and their connection by the corresponding similarity transformation are respectively discussed.

关 键 词：李超代数 玻色子 变形 类型 角动量 SU(2) 相似变换 荷斯坦 

分 类 号：O152.5[理学—数学] O572.2[理学—基础数学]