奇偶二项式光场态的小波变换  

Wavelet transform of odd-and even-binomial states

作　　者：宋军[1,2] 许业军[2] 范洪义[2] 

机构地区：[1]皖西学院材料与化工系,六安237012 [2]中国科学技术大学材料科学与工程系,合肥230026

出　　处：《物理学报》2011年第8期278-284,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10775097;10874174)资助的课题~~

摘　　要：利用有序算符内积分方法,小波变换可以表示为被转换态矢|f〉在压缩平移算符U(μ,s)作用下向母小波态矢〈ψ|转换的矩阵元〈ψ|U(μ,s)|f〉.在此基础上,计算了奇、偶二项式态的小波变换,得到小波变换谱.结果表明,小波变换谱可以起到识别这些量子力学态的作用,具有直观易辨的优点.In the context of quantum mechanics the classical wavelet transform of a function f with the mother wavelet ψ can be recast into a matrix element of the squeezing-displacing operator U（μ,s） as 〈ψ｜U（μ,s）｜f〉.The technique of integral within an ordered product of operators is used to support this theory.Based on this,wavelet transforms are done for even-and odd-binomial states,and the corresponding numerical calculation leads to the spectrum of wavelet transform,which is helpful for recognizing the difference between even-and odd-states.

关 键 词：小波变换 奇偶二项式态 有序算符内积分 

分 类 号：O431.2[机械工程—光学工程]