Quantum Leaks
数学物理
2009-11-11 v1 math.MP
谱理论
混沌动力学
摘要
We show that eigenfunctions of the Laplacian on certain non-compact domains with finite area may localize at infinity--provided there is no extreme level clustering--and thus rule out quantum unique ergodicity for such systems. The construction is elementary and based on `bouncing ball' quasimodes whose discrepancy is proved to be significantly smaller than the mean level spacing.
引用
@article{arxiv.math-ph/0503066,
title = {Quantum Leaks},
author = {Jens Marklof},
journal= {arXiv preprint arXiv:math-ph/0503066},
year = {2009}
}