Jun Song1**, Rui He1, Hao Yuan1, Jun Zhou1, Hong-Yi Fan2
1Department of Material and Chemical Engineering, West Anhui University, Lu'an 237012 2Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026
Abstract:Based on Dirac's representation theory and the technique of integration within an ordered product of operators, we put forward the joint wavelet-fractional Fourier transform in the context of quantum mechanics. Its corresponding transformation operator is found and the normally ordered form is deduced. This kind of transformation may be applied to analyzing and identifying quantum states.