Periodic Orbit Theory of Diffraction
- 24 October 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 73 (17) , 2304-2307
- https://doi.org/10.1103/physrevlett.73.2304
Abstract
An extension of the Gutzwiller trace formula is given that includes diffraction effects due to hard wall scatterers or other singularities. The new trace formula involves periodic orbits which have arcs on the surface of singularity and which correspond to creeping waves. A new family of resonances in the two-disk scattering system can be well described which is completely missing if only the traditional periodic orbits are used.Keywords
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