%0 Journal Article %A Relaño Pérez, Armando %A Gómez Gómez, José María %A Retamosa Granado, Joaquín %A Faleiro, E. %A Salasnich, L. %A Vranicar, M. %A Robnik, M. %T 1/ƒ^(α) noise in spectral fluctuations of quantum systems %D 2005 %@ 0031-9007 %U https://hdl.handle.net/20.500.14352/51285 %X The power law 1/ƒ^(α) in the power spectrum characterizes the fluctuating observables of many complex natural systems. Considering the energy levels of a quantum system as a discrete time series where the energy plays the role of time, the level fluctuations can be characterized by the power spectrum. Using a family of quantum billiards, we analyze the order-to-chaos transition in terms of this power spectrum. A power law 1/ƒ^(α) is found at all the transition stages, and it is shown that the exponent alpha is related to the chaotic component of the classical phase space of the quantum system. %~