Applications of wavelets to quantum mechanics: A pedagogical example

We discuss in great detail two quantum mechanical models of planar electrons which are very much related to the fractional quantum Hall effect. In particular, we discuss the localization properties of the trial ground states of the models starting from considerations on the numerical results on the energy. We conclude that wavelet theory can be conveniently used in the description of the system. Finally we suggest applications of our results to the fractional quantum Hall effect. © 1996 IOP Publishing Ltd.