Bouncing ball modes and quantum chaos
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
Quantum ergodicity of classically chaotic systems has been studied extensively both theoretically and experimentally, in mathematics, and in physics. Despite this long tradition we are able to present a new rigorous result using only elementary calculus. In the case of the famous Bunimovich billiard table we prove that the wave functions have to spread into any neighbourhood of the wings.
Keywords
Cite
@article{arxiv.math/0306278,
title = {Bouncing ball modes and quantum chaos},
author = {N. Burq and M. Zworski},
journal= {arXiv preprint arXiv:math/0306278},
year = {2007}
}
Comments
4 pages, 2 pictures