Statistical description of eigenfunctions in chaotic and weakly disordered systems beyond universality

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dc.creatorUrbina, Juan Diego
dc.creatorRichter, Klaus
dc.date2005-05-21
dc.date.accessioned2026-07-07T05:36:31Z
dc.date.available2026-07-07T05:36:31Z
dc.descriptionWe present a semiclassical approach to eigenfunction statistics in chaotic and weakly disordered quantum systems which goes beyond Random Matrix Theory, supersymmetry techniques, and existing semiclassical methods. The approach is based on a generalization of Berry's Random Wave Model, combined with a consistent semiclassical representation of spatial two-point correlations. We derive closed expressions for arbitrary wavefunction averages in terms of universal coefficients and sums over classical paths, which contain, besides the supersymmetry results, novel oscillatory contributions. Their physical relevance is demonstrated in the context of Coulomb blockade physics.
dc.identifierhttps://arxiv.org/abs/nlin/0505051
dc.identifierhttp://arxiv.org/abs/nlin/0505051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/81015
dc.subjectChaotic Dynamics
dc.subjectMesoscale and Nanoscale Physics
dc.subjectQuantum Physics
dc.titleStatistical description of eigenfunctions in chaotic and weakly disordered systems beyond universality
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