Random discrete Schrödinger operators from Random Matrix Theory

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dc.creatorBreuer, Jonathan
dc.creatorForrester, Peter J.
dc.creatorSmilansky, Uzy
dc.date2005-07-15
dc.date2006-11-25
dc.date.accessioned2026-07-07T06:42:17Z
dc.date.available2026-07-07T06:42:17Z
dc.descriptionWe investigate random, discrete Schrödiner operators which arise naturally in the theory of random matrices, and depend parametrically on Dyson's Coulomb gas inverse temperature $β$. They belong to the class of "critical" random Schrödiner operators with random potentials which diminish as $|x|^{-{1/2}}$. We show that as a function of $β$ their eigenstates undergo a transition from extended ($β\ge 2 $) to power-law localized ($0 < β< 2$).
dc.description9 pages, 0 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0507036
dc.identifierhttp://arxiv.org/abs/math-ph/0507036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101982
dc.subjectMathematical Physics
dc.subject15A52;81Q10
dc.titleRandom discrete Schrödinger operators from Random Matrix Theory
dc.typetext

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