| Publication type: | Article in scientific journal |
| Type of review: | Peer review (publication) |
| Title: | Quantum chaotic scattering with a mixed phase space : the three-disk billiard in a magnetic field |
| Authors: | Eichengrün, Markus Schirmacher, Walter Breymann, Wolfgang |
| DOI: | 10.1103/PhysRevE.61.382 |
| Published in: | Physical Review E |
| Volume(Issue): | 61 |
| Issue: | 1 |
| Page(s): | 382 |
| Pages to: | 389 |
| Issue Date: | 2000 |
| Publisher / Ed. Institution: | American Physical Society |
| ISSN: | 2470-0045 2470-0053 |
| Language: | English |
| Subject (DDC): | 530: Physics |
| Abstract: | We study the classical and semiclassical scattering behavior of electrons in an open three-disk billard in the presence of a homogeneous magnetic field, which is confined to the inner part of the scattering region. As the magnetic field is increased the phase space of the invariant set of the classical scattering trajectories changes from hyperbolic (fully chaotic) to a mixed situation, where KAM tori are present. The “stickiness” of the stable trajectories leads to a much slower decay of the survival probability of trajectories as compared to the hyperbolic case. We show that this effect influences strongly the quantum fluctuations of the scattering amplitude and cross sections. |
| URI: | https://digitalcollection.zhaw.ch/handle/11475/4675 |
| Fulltext version: | Published version |
| License (according to publishing contract): | Licence according to publishing contract |
| Departement: | School of Engineering |
| Organisational Unit: | Institute of Data Analysis and Process Design (IDP) |
| Appears in collections: | Publikationen School of Engineering |
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Eichengrün, M., Schirmacher, W., & Breymann, W. (2000). Quantum chaotic scattering with a mixed phase space : the three-disk billiard in a magnetic field. Physical Review E, 61(1), 382–389. https://doi.org/10.1103/PhysRevE.61.382
Eichengrün, M., Schirmacher, W. and Breymann, W. (2000) ‘Quantum chaotic scattering with a mixed phase space : the three-disk billiard in a magnetic field’, Physical Review E, 61(1), pp. 382–389. Available at: https://doi.org/10.1103/PhysRevE.61.382.
M. Eichengrün, W. Schirmacher, and W. Breymann, “Quantum chaotic scattering with a mixed phase space : the three-disk billiard in a magnetic field,” Physical Review E, vol. 61, no. 1, pp. 382–389, 2000, doi: 10.1103/PhysRevE.61.382.
EICHENGRÜN, Markus, Walter SCHIRMACHER und Wolfgang BREYMANN, 2000. Quantum chaotic scattering with a mixed phase space : the three-disk billiard in a magnetic field. Physical Review E. 2000. Bd. 61, Nr. 1, S. 382–389. DOI 10.1103/PhysRevE.61.382
Eichengrün, Markus, Walter Schirmacher, and Wolfgang Breymann. 2000. “Quantum Chaotic Scattering with a Mixed Phase Space : The Three-Disk Billiard in a Magnetic Field.” Physical Review E 61 (1): 382–89. https://doi.org/10.1103/PhysRevE.61.382.
Eichengrün, Markus, et al. “Quantum Chaotic Scattering with a Mixed Phase Space : The Three-Disk Billiard in a Magnetic Field.” Physical Review E, vol. 61, no. 1, 2000, pp. 382–89, https://doi.org/10.1103/PhysRevE.61.382.
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