Dimensional Hausdorff properties of singular continuous spectra.

نویسندگان

  • Jitomirskaya
  • Last
چکیده

We present an extension of the Gilbert-Pearson theory of subordinacy, which relates dimensional Hausdorff spectral properties of one-dimensional Schrödinger operators to the behavior of solutions of the corresponding Schrödinger equation. We use this theory to analyze these properties for several examples having the singular-continuous spectrum, including sparse barrier potentials, the almost Mathieu operator and the Fibonacci Hamiltonian.

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عنوان ژورنال:
  • Physical review letters

دوره 76 11  شماره 

صفحات  -

تاریخ انتشار 1996