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Phys. Rev. E 60, 3982–3991 (1999)

Semiclassical treatment of diffraction in billiard systems with a flux line

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Martin Sieber*
Abteilung Theoretische Physik, Universität Ulm, 89069 Ulm, Germany
Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, 01187 Dresden, Germany

Received 6 April 1999; published in the issue dated October 1999

In billiard systems with a flux line, semiclassical approximations for the density of states contain contributions from periodic orbits as well as from diffractive orbits that are scattered on the flux line. We derive a semiclassical approximation for diffractive orbits that are scattered once on a flux line. This approximation is uniformly valid for all scattering angles. The diffractive contributions are necessary in order that semiclassical approximations are continuous if the position of the flux line is changed.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.60.3982
DOI:
10.1103/PhysRevE.60.3982
PACS:
05.45.Mt, 03.65.Sq

*Present address.