An efficient method for scattering problems in open billiards: Theory and applications

Details An efficient method for scattering problems in open billiards: Theory and applications An efficient method for scattering problems in open billiards: Theory and applications

2006-07-03

arxiv.org/abs/quant-ph/0607020v1

Phys. Rev. B 74, 245317 (2006)

Physics

Quantum Physics

9 pages 6 figures submitted to PRB

Scientific paper

10.1103/PhysRevB.74.245317

We present an efficient method to solve scattering problems in two-dimensional open billiards with two leads and a complicated scattering region. The basic idea is to transform the scattering region to a rectangle, which will lead to complicated dynamics in the interior, but simple boundary conditions. The method can be specialized to closed billiards, and it allows the treatment of interacting particles in the billiard. We apply this method to quantum echoes measured recently in a microwave cavity, and indicate, how it can be used for interacting particles.

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