基于坐标表象的脊波变换研究  

Ridgelet transform research based on the coordinate representation

作　　者：余海军[1] 钟国宝[1,2] 马建国[1] 任刚[1] 

机构地区：[1]淮南师范学院物理与电子信息系,淮南232038 [2]安徽大学物理与材料科学学院,合肥230030

出　　处：《物理学报》2013年第13期263-268,共6页Acta Physica Sinica

基　　金：安徽高校省级自然科学研究项目(批准号:KJ2011Z359;KJ2012Z383)资助的课题~~

摘　　要：在小波变换量子力学机制的启发下,通过采用Fock空间里双模坐标本征态改写经典Ridgelet变换,定义了量子光学态的Ridgelet变换.然后利用IWOP技术给出不对称积分算符的显式,并推导出了两个有用的双模算符正规乘积公式.在此基础上,通过选取双模"墨西哥帽"母小波函数,分析了相干态、特殊压缩相干态、中介纠缠态表象的Ridgelet变换.Inspired by the wavelet transform in quantum mechanics, we define the new Ridgelet transform for quantum optics by rewriting the classic Ridgelet transform via the two-mode coordinate representation in Fock space. Furthermore, we give the explicit form of the asymmetric operator＇s integral and derive two Useful formulas for the normal ordering of the two-mode operator with the help of the technique of integration within an ordered product （IWOP） of operators. By choosing the two-variable Mexican hat＇s mother wavelet function, we analyse the Ridgelet transforms of the coherent state, special squeezed coherent state, intermediary entangled state on the basis of the theories we have mentioned.

关 键 词：IWOP技术 RIDGELET变换 相干态 

分 类 号：O431.2[机械工程—光学工程]