General formula for finding Mexican hat wavelets by virtue of Dirac's representation theory and coherent state
arXiv:quant-ph/0508066 · doi:10.1364/OL.31.000407
Abstract
The admissibility condition of a mother wavelet is explored in the context of quantum optics theory. By virtue of Dirac's representation theory and the coherent state' property we derive a general formula for finding Mexican hat wavelets.
8 pages, 4 figures