96-294 Barbaroux J.M., Combes J.M., Montcho R.
Remarks on the relation between quantum dynamics and fractal spectra. (60K, LaTeX) Jun 17, 96
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Abstract. We investigate the large time behaviour of various solutions of the Schr\"odinger equation in terms of some local and global dimensions of the spectral measure. We emphasize in particular the r\^ole of the Hausdorff and correlation dimensions for the growth exponents of position moments We also discuss the stability of such exponents under local perturbations.

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