The semiclassical theory of discontinuous systems and ray-splitting billiards

We analyze the semiclassical limit of spectral theory on manifolds whose metrics have jump-like discontinuities. Such systems are quite different from manifolds with smooth Riemannian metrics because the semiclassical limit does not relate to a classical flow but rather to branching (raysplitting) b...

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Bibliographic Details
Main Authors: Dmitry Jakobson, Yuri Safarov, Alexander Strohmaier, Yves C. de Verdiere
Format: Default Article
Published: 2015
Subjects:
Online Access:https://hdl.handle.net/2134/20023
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