Localization for Schrödinger operators with Poisson random potential

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dc.creatorGerminet, François
dc.creatorHislop, Peter D.
dc.creatorKlein, Abel
dc.date2006-03-12
dc.date2007-03-22
dc.date.accessioned2026-07-07T07:53:02Z
dc.date.available2026-07-07T07:53:02Z
dc.descriptionWe prove exponential and dynamical localization for the Schrödinger operator with a nonnegative Poisson random potential at the bottom of the spectrum in any dimension. We also conclude that the eigenvalues in that spectral region of localization have finite multiplicity. We prove similar localization results in a prescribed energy interval at the bottom of the spectrum provided the density of the Poisson process is large enough.
dc.descriptionMinor corrections, typos
dc.identifierhttps://arxiv.org/abs/math-ph/0603033
dc.identifierhttp://arxiv.org/abs/math-ph/0603033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126101
dc.subjectMathematical Physics
dc.subject82B44
dc.titleLocalization for Schrödinger operators with Poisson random potential
dc.typetext

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