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Diffractive orbits in quantum billiards

Nicolas Pavloff, Charles Schmit

chao-dynarXiv:chao-dyn/9505011

Abstract

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 quantum spectrum. As an illustration the method is applied to a triangular billiard.

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