98-24 Guerin C.A, Holschneider M.

Time-dependent scattering on fractal measures (90K, PS (gzip-ed uuencoded)) Jan 19, 98

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Abstract. We study the time-evolution for the Schr{\"o}dinger equation and the wave equation on the line when the interaction term is a fractal measure. We relate the long-time localization properties of the wave-packets to a fractal dimension of the potential, namely the wavelet correlation dimension. For the wave equation, we also show how the wave-packets can be interpreted in terms of wavelet transform of the potential.

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