Periodic Orbit Theory of Diffraction

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 creping 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.

4 pages, latex/REVTEX, 2 PS figures

References in corpus (3)

• Symmetry Decomposition of Chaotic Dynamics
• Entire Fredholm determinants for Evaluation of Semi-classical and Thermodynamical Spectra
• A Fredholm Determinant for Semi-classical Quantization

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