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arXiv · 2206.06624

A note on the semiclassical measure at singular points of the boundary of the Bunimovich stadium

Dan Mangoubi·Adi Weller Weiser
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Abstract

An argument by Hassell proving the existence of a Bunimovich stadium for which there are semiclassical measures giving positive mass to the submanifold of bouncing ball trajectories uses a notion of non-gliding points. However, this notion is defined only for domains with $C^2$-boundaries. The purpose of this note is to clarify the argument.

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Dan Mangoubi, Adi Weller Weiser. 2022-06-14. A note on the semiclassical measure at singular points of the boundary of the Bunimovich stadium. https://doi.org/10.5802/aif.3601

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