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Remarks on the Relation between Quantum Dynamics and Fractal Spectra

✍ Scribed by J.M Barbaroux; J.M Combes; R Montcho

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
319 KB
Volume
213
Category
Article
ISSN
0022-247X

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✦ Synopsis

We investigate the large time behaviour of various solutions of the Schrodinger Γ«quation in terms of some local and global dimensions of the spectral measure. We emphasize in particular the role 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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