Signatures of homoclinic motion in quantum chaos
Homoclinic motion plays a key role in the organization of classical chaos in Hamiltonian systems. In this Letter, we show that it also imprints a clear signature in the corresponding quantum spectra. By numerically studying the fluctuations of the widths of wave functions localized along periodic or...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
2005
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 04266caa a22006977a 4500 | ||
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| 001 | PAPER-4222 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518203344.0 | ||
| 008 | 190411s2005 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-18244378524 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 030 | |a PRLTA | ||
| 100 | 1 | |a Wisniacki, D.A. | |
| 245 | 1 | 0 | |a Signatures of homoclinic motion in quantum chaos |
| 260 | |c 2005 | ||
| 270 | 1 | 0 | |m Wisniacki, D.A.; Departamento de Química C-IX, Univ. Autónoma de Madrid, Cantoblanco, 28049-Madrid, Spain |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Gutzwiller, M.C., (1990) Chaos in Classical and Quantum Mechanics, , Springer-Verlag, New York | ||
| 504 | |a Heller, E.J., (1984) Phys. Rev. Lett., 53, p. 1515 | ||
| 504 | |a McDonald, S.W., (1983) LBL Report No. 14837 | ||
| 504 | |a Kaplan, L., Heller, E.J., (1998) Ann. Phys. (N.Y.), 264, p. 171 | ||
| 504 | |a Bogomolny, E.B., (1988) Physica D (Amsterdam), 31, p. 169 | ||
| 504 | |a Berry, M.V., (1989) Proc. R. Soc. London A, 423, p. 219 | ||
| 504 | |a Keating, J.P., Prado, S.D., (2001) Proc. R. Soc. London A, 457, p. 1855 | ||
| 504 | |a Heller, E.J., (1991) Chaos and Quantum Physics, , edited by M.J. Giannoni, A. Voros, and J. Zinn-Justin (Elsevier, Amsterdam) | ||
| 504 | |a Ozorio De Almeida, A.M., (1989) Nonlinearity, 2, p. 519 | ||
| 504 | |a Tomsovic, S., Heller, E.J., (1993) Phys. Rev. Lett., 70, p. 1405 | ||
| 504 | |a (1993) Phys. Rev. E, 47, p. 282 | ||
| 504 | |a De Polavieja, G.G., Borondo, F., Benito, R.M., (1994) Phys. Rev. Lett., 73, p. 1613 | ||
| 504 | |a Vergini, E.G., Carlo, G., (2001) J. Phys. A, 34, p. 4525 | ||
| 504 | |a Wisniacki, D.A., Borondo, F., Vergini, E., Benito, R.M., (2001) Phys. Rev. E, 63, p. 66220 | ||
| 504 | |a Da Silva Ritter, G.L., Ozorio De Almeida, A.M., Douady, R., (1987) Physica D (Amsterdam), 29, p. 181 | ||
| 504 | |a Wisniacki, D.A., Borondo, F., Vergini, E., Benito, R.M., (2004) Phys. Rev. E, 70, pp. 035202R | ||
| 520 | 3 | |a Homoclinic motion plays a key role in the organization of classical chaos in Hamiltonian systems. In this Letter, we show that it also imprints a clear signature in the corresponding quantum spectra. By numerically studying the fluctuations of the widths of wave functions localized along periodic orbits we reveal the existence of an oscillatory behavior that is explained solely in terms of the primary homoclinic motion. Furthermore, our results indicate that it survives the semiclassical limit. © 2005 The American Physical Society. |l eng | |
| 593 | |a Departamento de Química C-IX, Univ. Autónoma de Madrid, Cantoblanco, 28049-Madrid, Spain | ||
| 593 | |a Depto. de Fis. J. J. Giambiagi, FCEN, Universidad Buenos Aires, 1428 Buenos Aires, Argentina | ||
| 593 | |a Departamento de Física, Comn. Natl. de Ener. Atómica, Av. del Libertador 8250, 1429 Buenos Aires, Argentina | ||
| 593 | |a Departamento de Física, E.T.S.I. Agrónomos, Univ. Politécnica de Madrid, 28040 Madrid, Spain | ||
| 690 | 1 | 0 | |a GUTZWILLER TRACE FORMULA |
| 690 | 1 | 0 | |a HOMOCLINIC MOTION |
| 690 | 1 | 0 | |a PERIODIC ORBITS (PO) |
| 690 | 1 | 0 | |a QUANTUM CHAOS |
| 690 | 1 | 0 | |a EIGENVALUES AND EIGENFUNCTIONS |
| 690 | 1 | 0 | |a HAMILTONIANS |
| 690 | 1 | 0 | |a LYAPUNOV METHODS |
| 690 | 1 | 0 | |a PROBABILITY DENSITY FUNCTION |
| 690 | 1 | 0 | |a QUANTUM THEORY |
| 690 | 1 | 0 | |a RESONANCE |
| 690 | 1 | 0 | |a CHAOS THEORY |
| 700 | 1 | |a Vergini, E. | |
| 700 | 1 | |a Benito, R.M. | |
| 700 | 1 | |a Borondo, F. | |
| 773 | 0 | |d 2005 |g v. 94 |k n. 5 |p Phys Rev Lett |x 00319007 |w (AR-BaUEN)CENRE-386 |t Physical Review Letters | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-18244378524&doi=10.1103%2fPhysRevLett.94.054101&partnerID=40&md5=c3dd699090d2aaa90339bbf1443cd893 |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1103/PhysRevLett.94.054101 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_00319007_v94_n5_p_Wisniacki |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v94_n5_p_Wisniacki |y Registro en la Biblioteca Digital |
| 961 | |a paper_00319007_v94_n5_p_Wisniacki |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 963 | |a VARI | ||
| 999 | |c 65175 | ||