- 96-294 Barbaroux J.M., Combes J.M., Montcho R.
- Remarks on the relation between quantum dynamics and fractal spectra.
Jun 17, 96
(auto. generated ps),
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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.