Title: Quantum chaotic scattering with a mixed phase space : the three-disk billiard in a magnetic field
Authors : Eichengrün, Markus
Schirmacher, Walter
Breymann, Wolfgang
Published in : Physical Review E : covering Statistical, Nonlinear, Biological, and Soft Matter Physics
Volume(Issue) : 61
Issue : 1
Pages : 382
Pages to: 389
Publisher / Ed. Institution : American Physical Society
Issue Date: 2000
License (according to publishing contract) : Licence according to publishing contract
Type of review: Peer review (Publication)
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.
Departement: School of Engineering
Organisational Unit: Institute of Data Analysis and Process Design (IDP)
Publication type: Article in scientific Journal
DOI : 10.1103/PhysRevE.61.382
ISSN: 2470-0045
URI: https://digitalcollection.zhaw.ch/handle/11475/4675
Appears in Collections:Publikationen School of Engineering

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