Remarks on the Relation between Quantum Dynamics and Fractal Spectra

  title={Remarks on the Relation between Quantum Dynamics and Fractal Spectra},
  author={Jean-Marie Barbaroux and Jean-Michel Combes and Raphael Montcho},
  journal={Journal of Mathematical Analysis and Applications},
Abstract We investigate the large time behaviour of various solutions of the Schrodinger equation 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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