Artículo
Abstract:
The quantum dynamics of a chaotic billiard with moving boundary is considered in this paper. We found a shape parameter Hamiltonian expansion, which enables us to obtain the spectrum of the deformed billiard for deformations so large as the characteristic wavelength. Then, for a specified time-dependent shape variation, the quantum dynamics of a particle inside the billiard is integrated directly. In particular, the dispersion of the energy is studied in the Bunimovich stadium billiard with oscillating boundary. The results showed that the distribution of energy spreads diffusively for the first oscillations of the boundary [Formula Presented]. We studied the diffusion constant D as a function of the boundary velocity and found differences with theoretical predictions based on random matrix theory. By extracting highly phase-space localized structures from the spectrum, previous differences were reduced significantly. This fact provides numerical evidence of the influence of phase-space localization on the quantum diffusion of a chaotic system. © 1999 The American Physical Society.
Registro:
| Documento: | Artículo |
| Título: | Influence of phase-space localization on the energy diffusion in a quantum chaotic billiard |
| Autor: | Wisniacki, D.A.; Vergini, E. |
| Filiación: | Departamento de Física “J.J. Giambiagi,” FCEN UBA, Pabellón 1 Ciudad Universitaria, Buenos Aires, 1428, Argentina Departamento de Física, Comisión Nacional de Energía Atómica, Avenida del Libertador 8250, Buenos Aires, 1429, Argentina |
| Palabras clave: | article |
| Año: | 1999 |
| Volumen: | 59 |
| Número: | 6 |
| Página de inicio: | 6579 |
| Página de fin: | 6584 |
| DOI: | http://dx.doi.org/10.1103/PhysRevE.59.6579 |
| Título revista: | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Título revista abreviado: | Phys Rev E. |
| ISSN: | 1063651X |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_1063651X_v59_n6_p6579_Wisniacki.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v59_n6_p6579_Wisniacki |
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Citas:
---------- APA ----------
Wisniacki, D.A. & Vergini, E. (1999) . Influence of phase-space localization on the energy diffusion in a quantum chaotic billiard. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 59(6), 6579-6584.http://dx.doi.org/10.1103/PhysRevE.59.6579
---------- CHICAGO ----------
Wisniacki, D.A., Vergini, E. "Influence of phase-space localization on the energy diffusion in a quantum chaotic billiard" . Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 59, no. 6 (1999) : 6579-6584.http://dx.doi.org/10.1103/PhysRevE.59.6579
---------- MLA ----------
Wisniacki, D.A., Vergini, E. "Influence of phase-space localization on the energy diffusion in a quantum chaotic billiard" . Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 59, no. 6, 1999, pp. 6579-6584.http://dx.doi.org/10.1103/PhysRevE.59.6579
---------- VANCOUVER ----------
Wisniacki, D.A., Vergini, E. Influence of phase-space localization on the energy diffusion in a quantum chaotic billiard. Phys Rev E. 1999;59(6):6579-6584.http://dx.doi.org/10.1103/PhysRevE.59.6579
