Wegner estimate and localization for random magnetic fields
The paper deals with Schrödinger's operator with magnetic field, and its extends \textit{P. D. Hislop} and \textit{F. Kopp}'s method [J. Funct. Anal. 195, 12--47 (2002; Zbl 1013.60046)] to obtain more accurate Wegner estimates. One considers successively random magnetic Schrödinger's operators without scalar potentials, random Pauli Hamiltonians with an anomalous magnetic moment, random magnetic Schrödinger's operators with nonrandom scalar potentials and eventually operators involving Gaussian random vector potentials. In each case Wegner type estimates are obtained, as well as bounds on the infimum of the spectrum.
scientific article; zbMATH DE number 5363221
scientific article