Diffractive Orbits in Quantum Billiards
- 3 July 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 75 (1) , 61-64
- https://doi.org/10.1103/physrevlett.75.61
Abstract
We study diffractive effects in two-dimensional polygonal billiards. We derive an analytical trace formula accounting for the role of the nonclassical diffractive orbits in the quantum spectrum. As an illustration, the method is applied to a triangular billiard.Keywords
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This publication has 15 references indexed in Scilit:
- Geometric and diffractive orbits in the scattering from confocal hyperbolasPhysical Review E, 1995
- Periodic Orbit Theory of DiffractionPhysical Review Letters, 1994
- Tunneling and the Band Structure of Chaotic SystemsPhysical Review Letters, 1994
- Prebifurcation periodic ghost orbits in semiclassical quantizationPhysical Review Letters, 1993
- Semiclassical trace formulae for systems with non-Abelian symmetryJournal of Physics A: General Physics, 1992
- Semiclassical trace formulas in the presence of continuous symmetriesPhysical Review A, 1991
- Chaos in Classical and Quantum MechanicsPublished by Springer Nature ,1990
- Complex periodic orbits in the rotational spectrum of molecules: The example ofPhysical Review A, 1989
- Calculating the bound spectrum by path summation in action-angle variablesJournal of Physics A: General Physics, 1977
- Geometrical Theory of Diffraction*Journal of the Optical Society of America, 1962