• Title of article

    Remarks on the Relation between Quantum Dynamics and Fractal Spectra

  • Author/Authors

    J. M. Barbaroux، نويسنده , , U J. M. Combes، نويسنده , , U and R. MontchoU، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 1997
  • Pages
    25
  • From page
    698
  • To page
    722
  • 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 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
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    1997
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    929733