| Publication type: | Article in scientific journal |
| Type of review: | Peer review (publication) |
| Title: | Quantum manifestations of chaotic scattering in the presence of KAM tori |
| Authors: | Eichengrün, Markus Schirmacher, Walter Breymann, Wolfgang |
| DOI: | 10.1209/epl/i1996-00257-1 |
| Published in: | EPL - A Letters Journal Exploring the Frontiers of Physics |
| Volume(Issue): | 36 |
| Issue: | 7 |
| Page(s): | 483 |
| Pages to: | 489 |
| Issue Date: | 1996 |
| Publisher / Ed. Institution: | EDP Sciences |
| ISSN: | 0295-5075 1286-4854 |
| Language: | English |
| Subject (DDC): | 530: Physics |
| Abstract: | We investigate the semiclassical scattering amplitude for systems, where the classical dynamics is non-hyperbolic, i.e. where islands of KAM trajectories exist in an otherwise chaotic phase space. With the help of semiclassical calculations for the three-disk billiard in an external magnetic field, in which a hyperbolic–non-hyperbolic transition is observed as a function of the field strength, we show that the "stickiness" of the KAM tori leads to a much slower decrease of the survival probability, as compared with the hyperbolic case. This is reflected by a much narrower shape of the energy correlation function. However, we also find that the algebraic asymptotic decay of the survival probability in the non-hyperbolic case is not important for the quantum fluctuations. |
| URI: | https://digitalcollection.zhaw.ch/handle/11475/4671 |
| Fulltext version: | Published version |
| License (according to publishing contract): | Licence according to publishing contract |
| Departement: | School of Engineering |
| Appears in collections: | Publikationen School of Engineering |
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Eichengrün, M., Schirmacher, W., & Breymann, W. (1996). Quantum manifestations of chaotic scattering in the presence of KAM tori. EPL - A Letters Journal Exploring the Frontiers of Physics, 36(7), 483–489. https://doi.org/10.1209/epl/i1996-00257-1
Eichengrün, M., Schirmacher, W. and Breymann, W. (1996) ‘Quantum manifestations of chaotic scattering in the presence of KAM tori’, EPL - A Letters Journal Exploring the Frontiers of Physics, 36(7), pp. 483–489. Available at: https://doi.org/10.1209/epl/i1996-00257-1.
M. Eichengrün, W. Schirmacher, and W. Breymann, “Quantum manifestations of chaotic scattering in the presence of KAM tori,” EPL - A Letters Journal Exploring the Frontiers of Physics, vol. 36, no. 7, pp. 483–489, 1996, doi: 10.1209/epl/i1996-00257-1.
EICHENGRÜN, Markus, Walter SCHIRMACHER und Wolfgang BREYMANN, 1996. Quantum manifestations of chaotic scattering in the presence of KAM tori. EPL - A Letters Journal Exploring the Frontiers of Physics. 1996. Bd. 36, Nr. 7, S. 483–489. DOI 10.1209/epl/i1996-00257-1
Eichengrün, Markus, Walter Schirmacher, and Wolfgang Breymann. 1996. “Quantum Manifestations of Chaotic Scattering in the Presence of KAM Tori.” EPL - A Letters Journal Exploring the Frontiers of Physics 36 (7): 483–89. https://doi.org/10.1209/epl/i1996-00257-1.
Eichengrün, Markus, et al. “Quantum Manifestations of Chaotic Scattering in the Presence of KAM Tori.” EPL - A Letters Journal Exploring the Frontiers of Physics, vol. 36, no. 7, 1996, pp. 483–89, https://doi.org/10.1209/epl/i1996-00257-1.
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