Quantum Mechanics Version of Wavelet Transform Studied by Virtue of IWOP Technique
Fan Hong‐Yi, Jianfeng Lu · Communications in Theoretical Physics · 2004
Using the technique of integral within an ordered product (IWOP) of operators we show that the wavelet transform can be recasted to a matrix element of squeezing-displacing operator between the mother wavelet state vector and the state vector to be transformed in the context of quantum mechanics. In this way many quantum optical states' wavelet transform can be easily derived.