22 citations · 28 across the 3 of their papers we have counts for
3 papers
math.FA2019
Superscarred quasimodes on flat surfaces with conical singularities
Omer Friedland, Henrik Ueberschär
We construct a continuous family of quasimodes for the Laplace-Beltrami operator on a translation surface. We apply our result to rational polygonal quantum billiards and thus cons…
math-ph2012★ 6 cited
On the eigenvalue spacing distribution for a point scatterer on the flat torus
Zeev Rudnick, Henrik Ueberschaer
We study the level spacing distribution for the spectrum of a point scatterer on a flat torus. In the 2-dimensional case, we show that in the weak coupling regime the eigenvalue sp…
math.AP2011★ 22 cited
Statistics of wave functions for a point scatterer on the torus
Zeev Rudnick, Henrik Ueberschaer
Quantum systems whose classical counterpart have ergodic dynamics are quantum ergodic in the sense that almost all eigenstates are uniformly distributed in phase space. In contrast…