Existence of the density of states for some alloy type models with single site potentials of changing sign

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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 ergodic random Schrödinger operators on $L^2 (\RR^d)$. The density of states is shown to exist for a certain class of alloy type potentials with single site potentials of changing sign. The Wegner estimate we prove implies Anderson localization under certain additional assumptions. For some examples we discuss briefly some properties of the common and conditional densities of the random coupling constants used in the proof of the Wegner estimate.
dc.description9 pages, a different version to appear in proceedings of the Conference on Applied Mathematics and Scientific Computing, Dubrovnik, Croatia, 2001
dc.identifierhttps://arxiv.org/abs/math-ph/0204031
dc.identifierhttp://arxiv.org/abs/math-ph/0204031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57043
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject35J10, 35P20, 81Q10, 81Q15
dc.titleExistence of the density of states for some alloy type models with single site potentials of changing sign
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