Fractal Weyl law for open quantum chaotic maps
Fractal Weyl law for open quantum chaotic maps
复制标题
开放量子混沌图的分形韦尔定律
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
M. Zworski
中科院分区：
文献类型：
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作者：
S. Nonnenmacher;J. Sjoestrand;M. Zworski
我们研究了具有分形双曲陷集的散射问题中Poincar‘e映射的半经典量子化。它的主要应用是证明在实轴附近的小区域中共振/散射极点数的分形Weyl上界。这一结果涵盖了满足无食条件的几个凸(硬)障碍的情况。
We study the semiclassical quantization of Poincar'e maps arising in scattering problems with fractal hyperbolic trapped sets. The main application is the proof of a fractal Weyl upper bound for the number of resonances/scattering poles in small domains near the real axis. This result encompasses the case of several convex (hard) obstacles satisfying a no-eclipse condition.