 02375 Francois Germinet, Abel Klein
 Explicit finite volume criteria for localization in continuous
random media and applications
(509K, .ps)
Sep 12, 02

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. We give finite volume criteria for localization of
quantum or classical waves in continuous random media. We provide
explicit conditions, depending on the parameters of the model, for
starting the bootstrap multiscale analysis.
A simple application yields localization for Anderson Hamiltonians
on the continuum at the bottom of the spectrum in an interval of size
${\mathcal{O}}({\lambda})$ for large ${\lambda}$, where ${\lambda}$
stands for the disorder
parameter. A more sophisticated application proves localization for
twodimensional random Schr\"odinger operators in a
constant magnetic field (random Landau Hamiltonians)
up to a distance ${\mathcal{O}}(\frac{\log B}{B})$ from the Landau levels,
where $B$ is the strength of the magnetic field.
 Files:
02375.src(
02375.keywords ,
finvolmparc.ps )