Asymptotic rate of quantum ergodicity in chaotic Euclidean billiards
Asymptotic rate of quantum ergodicity in chaotic Euclidean billiards
The quantum unique ergodicity (QUE) conjecture of Rudnick and Sarnak is that every eigenfunction ϕn of the Laplacian on a manifold with uniformly hyperbolic geodesic flow becomes equidistributed in the semiclassical limit (eigenvalue En → ∞); that is, "strong scars" are absent. We study numerically the rate of equidistribution for …