Artículo
Short periodic orbit approach to resonances and the fractal Weyl law
Fecha de publicación:
03/2012
Editorial:
American Physical Society
Revista:
Physical Review E: Statistical, Nonlinear and Soft Matter Physics
ISSN:
1539-3755
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We investigate the properties of the semiclassical short periodic orbit approach for the study of open quantum maps that was recently introduced. We provide solid numerical evidence, for the paradigmatic systems of the open baker and cat maps, that by using this approach the dimensionality of the eigenvalue problem is reduced according to the fractal Weyl law. The method also reproduces the projectors ψnR ψnL , which involves the right and left states associated with a given eigenvalue and is supported on the classical phase-space repeller. © 2012 American Physical Society.
Palabras clave:
Fractal Weyl Law
,
Open Quantum Maps
,
Short Periodic Orbits
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Identificadores
Colecciones
Articulos(IFIBA)
Articulos de INST.DE FISICA DE BUENOS AIRES
Articulos de INST.DE FISICA DE BUENOS AIRES
Articulos(SEDE CENTRAL)
Articulos de SEDE CENTRAL
Articulos de SEDE CENTRAL
Citación
Pedrosa, Juan Manuel; Wisniacki, Diego Ariel; Carlo, Gabriel Gustavo; Novaes, M.; Short periodic orbit approach to resonances and the fractal Weyl law; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 85; 3; 3-2012; 1-5
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