- 99-47 J.-M. Barbaroux, H. Schulz-Baldes
- Anomalous quantum transport in presence of self-similar spectra
(257K, ps-file)
Feb 12, 99
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Abstract. We consider finite-difference Hamiltonians given by Jacobi
matrices with self-similar spectra of the Cantor type and prove
upper bounds on the diffusion exponents which show that the quantum
motion in these models is anomalous diffusive. For Julia matrices,
this bound is expressed only in terms of the generalized dimensions
of the spectral measures.
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