1/falpha noise and integrable systems.
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.
Barba
J C
JC
Departamento de Física Teórica II, Universidad Complutense, Madrid, Spain.
Finkel
F
F
González-López
A
A
Rodríguez
M A
MA
D003198:Computer Simulation; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D011789:Quantum Theory; D016008:Statistical Distributions