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
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.
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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