有限维希尔伯特空间q-形变谐振子及其相干态的量子特性  

Quantum Properties of q-deformed Harmonic Oscillator and Their Coherent States in a Finite-Dimensional Hilbert Space

作　　者：张勇[1] 白鲜萍[1] 纪文丽[1] 李瑞芳[1] 

机构地区：[1]内蒙古大学物理学系,内蒙古呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2001年第2期156-160,共5页Journal of Inner Mongolia University：Natural Science Edition

摘　　要：研究了有限维希尔伯特空间 q-形变谐振子的能级结构 ,构造了有限维希尔伯特空间 q-形变谐振子的相干态 .发现由于空间维数的有限性以及形变参数的影响 ,谐振子的能级结构和动力学行为与普通谐振子有很大差别 ,相干态也与The energy level structure of the q deformed harmonic oscillator in a finite dimensional Hilbert space is studied.The Coherent states of the q deformed harmonic oscillator in a finite dimensional Hilbert space are constructed.It is shown that the energy level structure and the dynamic action are very different from that of usual harmonic oscillator due to the finiteness of the dimension of Hilbert space and the deformation parameter′s influence,and the coherent states are different from the Glauber coherent states.

关 键 词：有限维希尔伯特空间 Q-形变谐振子 相干态 能级结构 动力学行为 量子光学 形变参数 

分 类 号：O431.2[机械工程—光学工程]