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Diffractive corrections in the trace formula for polygonal billiards
E. Bogomolny, N. Pavloff, C. Schmit
We derive contributions to the trace formula for the spectral density accounting for the role of diffractive orbits in two-dimensional polygonal billiards. In polygons, diffraction…
Uniform approximation for diffractive contributions to the trace formula in billiard systems
Martin Sieber, Nicolas Pavloff, Charles Schmit
We derive contributions to the trace formula for the spectral density accounting for the role of diffractive orbits in two-dimensional billiard systems with corners. This is achiev…
Diffractive orbits in quantum billiards
Nicolas Pavloff, Charles Schmit
We study diffractive effects in two dimensional polygonal billiards. We derive an analytical trace formula accounting for the role of non-classical diffractive orbits in the quantu…
Trace formula for an ensemble of bumpy billiards.
Nicolas Pavloff
We study the semiclassical quantization of an ensemble of billiards with a small random shape deformation. We derive a trace formula averaged over shape disorder. The results are i…
Discrete Symmetries in the Weyl Expansion for Quantum Billiards
Nicolas Pavloff
We consider two and three-dimensional quantum billiards with discrete symmetries. We derive the first terms of the Weyl expansion for the level density projected onto the irreducib…