Localization in infinite billiards: a comparison between quantum and classical ergodicity

Sandro Graffi, Marco Lenci

Consider the non-compact billiard in the first quandrant bounded by the positive $x$-semiaxis, the positive $y$-semiaxis and the graph of $f(x)=(x+1{)}^{-\alpha }$, $\alpha \in (1,2]$. Althoug…