非谐振子Gazeau-Klauder与Klauder-Perelomov相干态  

Gazeau-Klauder and Klauder-Perelomov coherert states for the anharmonic oscillator

作　　者：程衍富[1] 

机构地区：[1]中南民族大学物理系,武汉430074

出　　处：《物理学报》2004年第11期3657-3662,共6页Acta Physica Sinica

摘　　要：利用Kinani Daoud方法构造了非谐振子势的Gazeau Klauder(GK)相干态和Klauder Perelomov(KP)相干态 ,表明两种相干态在非线性谐振子势下具有完全不同的形式 ,并对两种相干态的完备性以及各自构成的Hilbert空间进行了讨论 .对相干态的MandelQ参数的研究表明 :GK相干态服从亚Poisson统计分布 。Using the Kinani-Daoud method we have constructed the Gazeau-Klauder(GK) and Klauder-Perelomov(KP) coherent states for the anharmonic oscillator. It is shown that the two types of coherent states have totally different forms in their expressions. We have also discussed the resolution of unity of the two coherent states and the Hilbert space of each state. The study of Mandel Q parameter of the states shows that GK coherent state coincides with the sub-Poissonian and KP coherent state coincides with the super-Poissonian statistical distributions.

关 键 词：相干态 非谐振子 非线性谐振子 HILBERT空间 KP 完备性 统计分布 研究 参数 方法 

分 类 号：O413.1[理学—理论物理] O431.2[理学—物理]