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.
出处
《高能物理与核物理》
SCIE
CAS
CSCD
北大核心
1997年第11期999-1004,共6页
High Energy Physics and Nuclear Physics
关键词
多模玻色算符
双参数变形
量子群
量子代数
muld-mode bose operator, two-parameter deformation, Holstein-Primakoff realization, completeness.
