紀要論文

紀要論文

text

2008-09

Osaka Journal of Mathematics. 2008, 45(3), p. 565-608

Wegner estimate and localization for random magnetic fields

Ueki, Naomasa

Osaka University and Osaka City University, Departments of Mathematics

英語

text

2008-09

Inspired by a work of Hislop and Klopp, we prove precise Wegner estimates for three classes of Schrödinger operators, including Pauli Hamiltonians, with random magnetic fields. The support of the site vector potentials may be noncompact (long-range type random perturbation) and, for one class of the operators, the random vector potentials may be unbounded. In particular Gaussian random fields are also treated. Wegner estimates with correct volume dependence are applied to show Hölder estimates of the densities of states. We give also upper bounds on the infimum of the spectrum to show the existence of the Anderson localization near the infimum.

10.18910/4565

4565

Wegner estimate and localization for random magnetic fields

Ueki, Naomasa

Osaka University and Osaka City University, Departments of Mathematics

英語

2008-09

Osaka Journal of Mathematics

45

3

565

608

https://hdl.handle.net/11094/4565

10.18910/4565

https://doi.org/10.18910/4565