Barbaroux, J.-M. and Schulz-Baldes, H. (1999) Anomalous quantum transport in presence of self-similar spectra. ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE, 71 (5). pp. 539-559. ISSN 0246-0211,
Full text not available from this repository.Abstract
We consider finite-difference Hamiltonians given by Jacobi matrices with self-similar spectra of the Canter 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. (C) Elsevier, Paris.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DYNAMICS; DIFFUSION; SYSTEMS; intermittant anomalous transport; multifractal analysis |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 13 Dec 2022 07:17 |
| Last Modified: | 13 Dec 2022 07:17 |
| URI: | https://pred.uni-regensburg.de/id/eprint/48861 |
Actions (login required)
 |
View Item |
