Artículo
Wisniacki, D.A.; Vergini, E.; Benito, R.M.; Borondo, F. "Classical invariants and the quantization of chaotic systems" (2004) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 70(3 2):035202-1-035202-4
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Abstract:
Various aspects concerning the role of short periodic orbitals (PO) in Gutzwiller's summation formula, for the semiclassical quantization of chaotic systems, were investigated. It was suggested that due to their exponential proliferation, long periodic orbits constitute a serious drawback in Gutzwiller's theory of chaotic systems. It was found that the short PO, and their associated heteroclinic and homoclinic intersecting areas, are relevant contributions to the spectra. A semiclassical interpretation on the ways to localize structures along PO interact was also provided.
Registro:
| Documento: | Artículo |
| Título: | Classical invariants and the quantization of chaotic systems |
| Autor: | Wisniacki, D.A.; Vergini, E.; Benito, R.M.; Borondo, F. |
| Filiación: | Departamento de Química C-IX, Univ. Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain Deptamento de Fisica J. J. Giambiagi, FCEN, Ciudad Universitaria, 1428 Buenos Aires, Argentina Departamento de Física, Comn. Natl. de Ener. Atómica, Av. del Libertador 8250, 1429 Buenos Aires, Argentina Departamento de Física, E. T. S. I. Agrónomos, Univ. Politécnica de Madrid, 28040 Madrid, Spain |
| Palabras clave: | Eigenvalues and eigenfunctions; Fourier transforms; Functions; Hamiltonians; Matrix algebra; Nanotechnology; Probability; Quantum theory; Chaotic systems; Dynamical analysis; Gutzwiller's theory; Semiclassical theory of quantum chaos; Chaos theory |
| Año: | 2004 |
| Volumen: | 70 |
| Número: | 3 2 |
| Página de inicio: | 035202 |
| Página de fin: | 1-035202-4 |
| DOI: | http://dx.doi.org/10.1103/PhysRevE.70.035202 |
| 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_v70_n32_p035202_Wisniacki |
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Citas:
---------- APA ----------
Wisniacki, D.A., Vergini, E., Benito, R.M. & Borondo, F. (2004) . Classical invariants and the quantization of chaotic systems. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 70(3 2), 035202-1-035202-4.http://dx.doi.org/10.1103/PhysRevE.70.035202
---------- CHICAGO ----------
Wisniacki, D.A., Vergini, E., Benito, R.M., Borondo, F. "Classical invariants and the quantization of chaotic systems" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 70, no. 3 2 (2004) : 035202-1-035202-4.http://dx.doi.org/10.1103/PhysRevE.70.035202
---------- MLA ----------
Wisniacki, D.A., Vergini, E., Benito, R.M., Borondo, F. "Classical invariants and the quantization of chaotic systems" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 70, no. 3 2, 2004, pp. 035202-1-035202-4.http://dx.doi.org/10.1103/PhysRevE.70.035202
---------- VANCOUVER ----------
Wisniacki, D.A., Vergini, E., Benito, R.M., Borondo, F. Classical invariants and the quantization of chaotic systems. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2004;70(3 2):035202-1-035202-4.http://dx.doi.org/10.1103/PhysRevE.70.035202
