Chaos and 1/f Noise in Nuclear Spectra

Many complex systems in nature and in human society exhibit time fluctuations characterized by a power spectrum which is a power function of the frequency f. We show that the energy spectrum fluctuations of quantum systems can be formally considered as a discrete time series. The power spectrum behavior of such a signal for paradigmatic quantum systems suggests the following conjecture: The energy spectra of chaotic quantum systems are characterized by 1/f noise.