摘要
利用SU(2)q,s量子代数的两参数变形振子实现构造出与Perelomov相干态形式不同的SU(2)q,s相干态.证明了SU(2)q,s,量子代数的表示基是正交的,并讨论了它的相干态的归一性和完备性.指出SU(2)q,s相干态的相干性受参数q,s的影响,它比单参数变形SU(2)q相干态更具一般性.
The SU(2)_(q,s) coherent state different from Perelomov coherent state is constructed by using the (q,s) deformed harmonic oscillators of the SU(2)q,s quantum algebra. It is shown that the basis function of the SU(2)q,s quantum algebra is orthogonal. The completeness and normalization property of the SU(2)q,s coherent state is studied. It is pointed out that the coherent property of the SU(2)q,s coherent state is affected by q,s parameters, and this is more general than the case of the single parameter SU(2)q coherent state.
出处
《高能物理与核物理》
CSCD
北大核心
1995年第3期258-263,共6页
High Energy Physics and Nuclear Physics
关键词
量子代数
变形振子
两参数
相干态
SU(2)_(q
s) quantum algebra
deformed harmonic oscillators
completeness relation.