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

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We 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.

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Chaotic Dynamics, Mesoscale and Nanoscale Physics, Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/81015

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0505051
 http://arxiv.org/abs/nlin/0505051

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arXiv