量子光学态的Ridgelet变换

Ridgelet transform for quantum optical states

利用有序算符内积分技术推导出一个有用的双模算符正规乘积公式.然后在量子力学框架下,计算出相干态、特殊压缩相干态、中介纠缠态表象的Rad on变换.在此基础上,通过选取"墨西哥帽"母小波函数,分别分析了以上三种量子光学态的Ridgelet变换.

We derive a useful formula for the normal ordering of two-mode operator by the technique of integration within an ordered product （IWOP） of operators. Furthermore, we also calculate the Radon transformations for the coherent state, special squeezed coherent state, intermediary entangled state in the view of the quantum mechanics. Based on the results above, the Mexican hat’s mother wavelet function is selected to analyse Ridgelet transformations of these three quantum optical states.