Periodic-orbit theory of level correlations
Periodic-orbit theory of level correlations
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DOI：
10.1103/physrevlett.98.044103
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发表时间：
2007-01-26
影响因子：
8.6
通讯作者：
Haake, Fritz
中科院分区：
文献类型：
--
作者：
Heusler, Stefan;Mueller, Sebastian;Haake, Fritz
我们提出了所谓的Bohigas-Giannoni-Schmit猜想的半经典解释，该猜想断言混沌动力学中谱起伏的普遍性。我们处理一个生成函数，它的半经典极限是由周期轨道集的四联体决定的。得到了泛谱相关器的非振荡部分和振荡部分的渐近展开式。级数的Borel求和再现了随机矩阵理论的精确相关。
We present a semiclassical explanation of the so-called Bohigas-Giannoni-Schmit conjecture which asserts universality of spectral fluctuations in chaotic dynamics. We work with a generating function whose semiclassical limit is determined by quadruplets of sets of periodic orbits. The asymptotic expansions of both the nonoscillatory and the oscillatory part of the universal spectral correlator are obtained. Borel summation of the series reproduces the exact correlator of random-matrix theory.