Random Hamiltonians with arbitrary point interactions in one dimension

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dc.citation.firstpage104
dc.citation.journalTitleJournal of Differential Equations
dc.citation.lastpage126
dc.citation.volumeNumber282
dc.contributor.authorDamanik, David
dc.contributor.authorFillman, Jake
dc.contributor.authorHelman, Mark
dc.contributor.authorKesten, Jacob
dc.contributor.authorSukhtaiev, Selim
dc.date.accessioned2021-03-12T22:10:35Z
dc.date.available2021-03-12T22:10:35Z
dc.date.issued2021
dc.description.abstractWe consider disordered Hamiltonians given by the Laplace operator subject to arbitrary random self-adjoint singular perturbations supported on random discrete subsets of the real line. Under minimal assumptions on the type of disorder, we prove the following dichotomy: Either every realization of the random operator has purely absolutely continuous spectrum or spectral and exponential dynamical localization hold. In particular, we establish Anderson localization for Schrödinger operators with Bernoulli-type random singular potential and singular density.
dc.identifier.citationDamanik, David, Fillman, Jake, Helman, Mark, et al.. "Random Hamiltonians with arbitrary point interactions in one dimension." <i>Journal of Differential Equations,</i> 282, (2021) Elsevier: 104-126. https://doi.org/10.1016/j.jde.2021.01.044.
dc.identifier.doihttps://doi.org/10.1016/j.jde.2021.01.044
dc.identifier.urihttps://hdl.handle.net/1911/110177
dc.language.isoeng
dc.publisherElsevier
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.
dc.titleRandom Hamiltonians with arbitrary point interactions in one dimension
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpost-print
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