Fractal Weyl law for quantum fractal eigenstates

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dc.creatorShepelyansky, D. L.
dc.date2007-09-14
dc.date2007-10-30
dc.date.accessioned2026-07-07T08:56:38Z
dc.date.available2026-07-07T08:56:38Z
dc.descriptionThe properties of the resonant Gamow states are studied numerically in the semiclassical limit for the quantum Chirikov standard map with absorption. It is shown that the number of such states is described by the fractal Weyl law and their Husimi distributions closely follow the strange repeller set formed by classical orbits nonescaping in future times. For large matrices the distribution of escape rates converges to a fixed shape profile characterized by a spectral gap related to the classical escape rate.
dc.description4 pages, 5 figs, minor modifications, research at http://www.quantware.ups-tlse.fr/
dc.identifierhttps://arxiv.org/abs/0709.2336
dc.identifierhttp://arxiv.org/abs/0709.2336
dc.identifierPhys. Rev. E. v.77, p.015202(R) (2008)
dc.identifierdoi:10.1103/PhysRevE.77.015202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146682
dc.subjectDisordered Systems and Neural Networks
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMathematical Physics
dc.subjectChaotic Dynamics
dc.titleFractal Weyl law for quantum fractal eigenstates
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