Barba J C, Finkel F, González-López A, Rodríguez M A
Departamento de Física Teórica II, Universidad Complutense, Madrid, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Oct;80(4 Pt 2):047201. doi: 10.1103/PhysRevE.80.047201. Epub 2009 Oct 5.
In this paper, we show that there is a family of well-known integrable systems whose spectral fluctuations decay as 1/f(4), and thus do not follow the 1/f(2) law recently conjectured for integrable systems. We present a simple theoretical justification of this fact, and propose an alternative characterization of quantum chaos versus integrability formulated directly in terms of the power spectrum of the spacings of the unfolded spectrum.
在本文中，我们表明存在一类著名的可积系统，其谱涨落按1/f(4)衰减，因此并不遵循最近针对可积系统所推测的1/f(2)定律。我们给出了这一事实的简单理论依据，并提出了一种直接根据展开谱间距的功率谱来表述的量子混沌与可积性的替代表征。
