Semiclassical Treatment of Diffraction in Billiard Systems with a Flux Line

Details Semiclassical Treatment of Diffraction in Billiard Systems with a Flux Line Semiclassical Treatment of Diffraction in Billiard Systems with a Flux Line

1999-03-31

arxiv.org/abs/chao-dyn/9904006v1

Phys. Rev. E 60 (1999) 3982

Nonlinear Sciences

Chaotic Dynamics

LaTeX, 17 pages, 4 figures

Scientific paper

10.1103/PhysRevE.60.3982

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.

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