Existence of the density of states for one-dimensional alloy-type potentials with small support

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dc.creatorKirsch, Werner
dc.creatorVeselic', Ivan
dc.date2002-04-15
dc.date.accessioned2026-07-07T04:29:08Z
dc.date.available2026-07-07T04:29:08Z
dc.descriptionWe study spectral properties of Schrödinger operators with random potentials of alloy type on $L^2(\RR)$ and their restrictions to finite intervals. A Wegner estimate for non-negative single site potentials with small support is proven. It implies the existence and local uniform boundedness of the density of states. Our estimate is valid for all bounded energy intervals. Wegner estimates play a key role in an existence proof of pure point spectrum.
dc.descriptionSee also mp_arc, 02-144. In a different version to appear in the proceedings of the QMath-8 Conference, Taxco, Mexico, 2001
dc.identifierhttps://arxiv.org/abs/math-ph/0204030
dc.identifierhttp://arxiv.org/abs/math-ph/0204030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57042
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject35J10, 35P20, 81Q10, 81Q15
dc.titleExistence of the density of states for one-dimensional alloy-type potentials with small support
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