非谐振子q变形下的广义相干态与精确解  

Generalized coherent states and exact solutions of parameter q non-harmonic oscillator

作　　者：王长荣[1] 

机构地区：[1]浙江科技学院物理系,浙江杭州310023

出　　处：《云南大学学报（自然科学版）》2005年第S2期67-71,共5页Journal of Yunnan University(Natural Sciences Edition)

基　　金：浙江省自然科学基金资助项目(M503126)

摘　　要：以含有平方反比项势函数的非谐振子为基本模型,研究了q变形下非谐振子的广义相干态及相关对易关系,精确求解了二度简并下的能级和波函数,并以A=0的情况为例进行了计算与讨论.Using the fundamental model which contains square-inverse potential function,the generalized coherent states and their relevant commutation relations of parameter q non-harmonic oscillator are studied.The energy level and wave function under two-dimensional degeneracy are calculated exactly.Especially,the case of A=0 is calculated and discussed.

关 键 词：非谐振子 Q变形 广义相干态 本征值 本征函数 

分 类 号：O413.1[理学—理论物理]