摘要
本文给出了SU_q(2)代数的广义量子相干态表示,并指出由此可以得到SU_q(2)的一个新的Boson实现,这样的Boson实现是广义的q-Dyson实现,但这类实现是不厄米的,可以引入一个新的变换使之变为厄米的。这种变换后的实现可以称为q-Holstein-Primakoff实现。我们找出了这样的变换矩阵。文中也指出这种方法推广到高阶群似乎不很容易。
The generalized q-coherent state of the quantum group SU_q(2) is defined. The q-coherent state realization of the quantum algebra SU_q(2) is given. This realization may be considered as q-Dyson realization. In analogy to the usual Lie algebra SU(2), the q-Holstein-Primakoff repre- sentation is also found from the q-Dyson representation. The transformation matrix between the q-Dyson and Holstein-Primakoff representation is obtained.
出处
《高能物理与核物理》
SCIE
CAS
CSCD
北大核心
1992年第5期461-467,共7页
High Energy Physics and Nuclear Physics
基金
国家自然科学基金
