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Pedrosa, J.M.; Wisniacki, D.; Carlo, G.G.; Novaes, M. "Short periodic orbit approach to resonances and the fractal Weyl law" (2012) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 85(3)
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Abstract:

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.

Registro:

Documento: Artículo
Título:Short periodic orbit approach to resonances and the fractal Weyl law
Autor:Pedrosa, J.M.; Wisniacki, D.; Carlo, G.G.; Novaes, M.
Filiación:Departamento de Física, CNEA, Av. Libertador 8250, Buenos Aires C1429BNP, Argentina
Departamento de Física, FCEyN, Ciudad Universitaria, Buenos Aires C1428EGA, Argentina
Departamento de Física, Universidade Federal de São Carlos, São Carlos, São Paulo, 13565-905, Brazil
Escuela de Ciencia y Tecnología, UNSAM, Martín de Irigoyen 3100, 1650, San Martín, Argentina
Palabras clave:Cat map; Eigen-value; Eigenvalue problem; Numerical evidence; Periodic orbits; Phase spaces; Quantum maps; Fractals; Phase space methods; Time varying systems; Eigenvalues and eigenfunctions
Año:2012
Volumen:85
Número:3
DOI: http://dx.doi.org/10.1103/PhysRevE.85.036203
Título revista:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Título revista abreviado:Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
ISSN:15393755
CODEN:PLEEE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v85_n3_p_Pedrosa

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Citas:

---------- APA ----------
Pedrosa, J.M., Wisniacki, D., Carlo, G.G. & Novaes, M. (2012) . Short periodic orbit approach to resonances and the fractal Weyl law. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 85(3).
http://dx.doi.org/10.1103/PhysRevE.85.036203
---------- CHICAGO ----------
Pedrosa, J.M., Wisniacki, D., Carlo, G.G., Novaes, M. "Short periodic orbit approach to resonances and the fractal Weyl law" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 85, no. 3 (2012).
http://dx.doi.org/10.1103/PhysRevE.85.036203
---------- MLA ----------
Pedrosa, J.M., Wisniacki, D., Carlo, G.G., Novaes, M. "Short periodic orbit approach to resonances and the fractal Weyl law" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 85, no. 3, 2012.
http://dx.doi.org/10.1103/PhysRevE.85.036203
---------- VANCOUVER ----------
Pedrosa, J.M., Wisniacki, D., Carlo, G.G., Novaes, M. Short periodic orbit approach to resonances and the fractal Weyl law. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2012;85(3).
http://dx.doi.org/10.1103/PhysRevE.85.036203