Classical invariants and the quantization of chaotic systems
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 Gu...
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2004
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 04886caa a22007817a 4500 | ||
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| 001 | PAPER-4441 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518203400.0 | ||
| 008 | 190411s2004 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-42749099927 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 030 | |a PLEEE | ||
| 100 | 1 | |a Wisniacki, D.A. | |
| 245 | 1 | 0 | |a Classical invariants and the quantization of chaotic systems |
| 260 | |c 2004 | ||
| 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 Haake, F., (2001) Quantum Signatures of Chaos, , Springer, Berlin | ||
| 504 | |a Stöckmann, H.-J., (1999) Quantum Chaos: An Introduction, , Cambridge University Press, Cambridge | ||
| 504 | |a Ehrenfest, P., (1916) Verlagen Kon. Akad. Amsterdam, 25, p. 412 | ||
| 504 | |a (1967) Sources of Quantum Mechanics, , edited by B. L. Van der Waerden (Dover, New York) | ||
| 504 | |a Einstein, A., (1917) Verh. Dtsch. Phys. Ges., 19, p. 82 | ||
| 504 | |a Lichtenberg, A.J., Lieberman, M.A., (1992) Regular and Chaotic Dynamics, , Springer, New York | ||
| 504 | |a Gutzwiller, M.C., (1990) Chaos in Classical and Quantum Mechanics, , Springer, New York | ||
| 504 | |a Gutzwiller, M.C., (1980) Phys. Rev. Lett., 45, p. 150 | ||
| 504 | |a Wintgen, D., (1987) Phys. Rev. Lett., 58, p. 1589 | ||
| 504 | |a note; Wisniacki, D.A., Vergini, E., (2000) Phys. Rev. E, 62, pp. R4513 | ||
| 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.G., (2001) J. Phys. A, 34, p. 4525 | ||
| 504 | |a Vergini, E.G., Schneider, D., J. Phys. A, , submitted | ||
| 504 | |a Ozorio De Almeida, A.M., (1989) Nonlinearity, 2, p. 519 | ||
| 504 | |a Tomsovic, S., Lefebvre, J.H., (1997) Phys. Rev. Lett., 79, p. 3629 | ||
| 504 | |a D. A. Wisniacki, E. Vergini, R. M. Benito, and F. Borondo, nlin.CD/0402022; Wisniacki, D.A., Borondo, F., Vergini, E., Benito, R.M., (2000) Phys. Rev. E, 62, pp. R7583 | ||
| 504 | |a (2000) Phys. Rev. E, 63, p. 066220 | ||
| 504 | |a Vergini, E.G., (2000) J. Phys. A, 33, p. 4709 | ||
| 504 | |a Vergini, E.G., Carlo, G.G., (2000) J. Phys. A, 33, p. 4717 | ||
| 504 | |a Fromhold, P.B., (1996) Nature (London), 380, p. 608 | ||
| 504 | |a Takagaki, Y., Ploog, K.H., (2000) Phys. Rev. E, 62, p. 4804 | ||
| 520 | 3 | |a 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. |l eng | |
| 593 | |a Departamento de Química C-IX, Univ. Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain | ||
| 593 | |a Deptamento de Fisica J. J. Giambiagi, FCEN, Ciudad Universitaria, 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 EIGENVALUES AND EIGENFUNCTIONS |
| 690 | 1 | 0 | |a FOURIER TRANSFORMS |
| 690 | 1 | 0 | |a FUNCTIONS |
| 690 | 1 | 0 | |a HAMILTONIANS |
| 690 | 1 | 0 | |a MATRIX ALGEBRA |
| 690 | 1 | 0 | |a NANOTECHNOLOGY |
| 690 | 1 | 0 | |a PROBABILITY |
| 690 | 1 | 0 | |a QUANTUM THEORY |
| 690 | 1 | 0 | |a CHAOTIC SYSTEMS |
| 690 | 1 | 0 | |a DYNAMICAL ANALYSIS |
| 690 | 1 | 0 | |a GUTZWILLER'S THEORY |
| 690 | 1 | 0 | |a SEMICLASSICAL THEORY OF QUANTUM CHAOS |
| 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 2004 |g v. 70 |h pp. 035202-1-035202-4 |k n. 3 2 |p Phys. Rev. E Stat. Nonlinear Soft Matter Phys. |x 15393755 |t Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-42749099927&doi=10.1103%2fPhysRevE.70.035202&partnerID=40&md5=23dfa71ab914076f77085bbc66e13d99 |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1103/PhysRevE.70.035202 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_15393755_v70_n32_p035202_Wisniacki |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v70_n32_p035202_Wisniacki |y Registro en la Biblioteca Digital |
| 961 | |a paper_15393755_v70_n32_p035202_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 65394 | ||