利用SU_q(2)量子代数的q变形振子实现讨论SU_q(2)相干态  

A STUDY OF SU_ q (2) COHERENT STATE BY MAKING USE OF q-DEFORMATION HARMONIC OSCILLATORS REALIZATION OF SU_q(2) QUANTUM ALGEBRA

作　　者：郝三如[1] 

机构地区：[1]长沙水利电力师范学院物理系 长沙 410077

出　　处：《物理学报》1993年第5期691-698,共8页Acta Physica Sinica

摘　　要：利用SU_q(2)量子代数的q变形振子实现构造出SU_q(2)的相干态。证明SU_q(2)代数的表示基是正交的,并讨论了它的相干态的归一性、完闭性。指出SU_q(2)相干态的相干性受q参数影响较大,它比通常的SU(2)相干态更具有一般性。The SU, (2) coherent state is constructed by making use of the q- deformation harmonic oscillators realization of the SU, (2) quantum algebra. It is shown that the basis functions of the SU, (2) quantum algebra is orthogonal. The completeness and normalizing property of the SUq (2) coherent state is studied. We point out that the coherent property of the SUq (2) co-herent state is affected by q parameter, and show more generalility than the usual SU(2) co-herent state.

关 键 词：光场 相干态 Q变形振子 SUq(2) 

分 类 号：O431[机械工程—光学工程]