Fractal Weyl Law for Open Chaotic Maps
数学物理
2016-08-16 v2 math.MP
摘要
This contribution summarizes our work with M.Zworski on open quantum open chaoticmaps (math-ph/0505034). For a simple chaotic scattering system (the open quantum baker's map), we compute the "long-living resonances" in the semiclassical r\'{e}gime, and show that they satisfy a fractal Weyl law. We can prove this fractal law in the case of a modified model.
关键词
引用
@article{arxiv.math-ph/0506056,
title = {Fractal Weyl Law for Open Chaotic Maps},
author = {Stéphane Nonnenmacher},
journal= {arXiv preprint arXiv:math-ph/0506056},
year = {2016}
}
备注
Contribution to the Proceedings of the conference QMath9, Mathematical Physics of Quantum Mechanics, September 12th-16th 2004, Giens, France