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Relaño Pérez, Armando ; Retamosa Granado, Joaquín ; Faleiro, E. ; Molina, R. A. ; Zuker, A. P. | American Physical Society | 2006-02It was recently pointed out that the spectral fluctuations of quantum systems are formally analogous to discrete time series, and therefore their structure can be characterized by the power spectrum of the signal. Moreover, it is found that the [...]texto impreso
Relaño Pérez, Armando ; Gómez Gómez, José María ; Retamosa Granado, Joaquín ; Faleiro, E. ; Salasnich, L. ; Vranicar, M. ; Robnik, M. | American Physical Society | 2005-03-04The power law 1/ƒ^(?) 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[...]texto impreso
Gómez, J. M. G. ; Faleiro, E. ; Molina, R. A. ; Muñoz, L. ; Relaño Pérez, Armando | World Scientific Publishing Company | 2005-03Many complex systems in nature and in human society exhibit time fluctuations characterized by a power spectrum S(f) which is a power function of the frequency f . Examples with this behavior are the Sun spot activity, the human heartbeat, the D[...]texto impreso
Relaño Pérez, Armando ; Retamosa Granado, Joaquín ; Faleiro, E. ; Gómez Gómez, José María | American Physical Society | 2005-12The existence of a formal analogy between quantum energy spectra and discrete time series has been recently pointed out. When the energy level fluctuations are described by means of the ?_(n) statistic, it is found that chaotic quantum systems a[...]texto impreso
Relaño Pérez, Armando ; Molina, R. A. ; Retamosa Granado, Joaquín ; Muñoz, L. ; Faleiro, E. ; Gómez Gómez, José María | IOP publishing ltd | 2010The power spectrum of the ?_(n) statistic of quantum spectra presents 1/ƒ^(?) noise. For chaotic systems ? = 1 while for regular systems ? = 2. Although the transition from regularity to chaos is non universal, for a wide variety of systems wi[...]texto impreso
Relaño Pérez, Armando ; Muñoz, L. ; Retamosa Granado, Joaquín ; Faleiro, E. ; Molina, R. A. | American Physical Society | 2008-03The continuous Gaussian ensemble, also known as the nu-Gaussian or nu-Hermite ensemble, is a natural extension of the classical Gaussian ensembles of real (nu= 1), complex (nu= 2), or quaternion (nu=4) matrices, where nu is allowed to take any p[...]texto impreso
Relaño Pérez, Armando ; Molina, R. A. ; Retamosa Granado, Joaquín ; Muñoz, L. ; Faleiro, E. | Elsevier Science BV | 2007-01-04Sequences of energy levels in nuclei are often plagued with missing levels whose number and position are unknown. It is also quite usual that all the quantum numbers of certain levels cannot be experimentally determined, and thus levels of diffe[...]texto impreso
Faleiro, E. ; Gómez Gómez, José María ; Muñoz, L. ; Relaño Pérez, Armando ; Retamosa Granado, Joaquín | University Chicago Press | 2004-11We apply a principal components analysis (PCA) to the secondary particle density distributions at ground level produced by cosmic gamma-rays and protons. For this purpose, high-energy interactions of cosmic rays with Earth's atmosphere and the r[...]texto impreso
Relaño Pérez, Armando ; Gómez Gómez, José María ; Molina, R. A. ; Retamosa Granado, Joaquín ; Faleiro, E. | American Physical Society | 2002-12-09The main signature of chaos in a quantum system is provided by spectral statistical analysis of the nearest-neighbor spacing distribution P(s) and the spectral rigidity given by the Delta(3)(L) statistic. It is shown that some standard unfolding[...]texto impreso
Relaño Pérez, Armando ; Gómez Gómez, José María ; Faleiro, E. ; Muñoz, L. ; Molina, R. A. ; Retamosa Granado, J. | IOP publishing ltd | 2011A survey of chaotic dynamics in atomic nuclei is presented, using on the one hand standard statistics of quantum chaos studies, and on the other a new approach based on time series analysis methods. The study of shell-model spectra in the pf she[...]texto impreso
Gómez Gómez, José María ; Faleiro, E. ; Muñoz, L. ; Molina, R. A. ; Relaño Pérez, Armando | IOP publishing ltd | 2015Shell-model calculations with realistic empirical interactions constitute an excellent tool to study statistical properties of nuclei. Using large-scale shell-model calculations in pf-shell nuclei, we study how the onset of chaos depends on diff[...]texto impreso
Relaño Pérez, Armando ; Muñoz, L. ; Faleiro, E. ; Molina, R. A. ; Retamosa Granado, Joaquín | American Physical Society | 2006-03It is widely accepted that the statistical properties of energy level spectra provide an essential characterization of quantum chaos. Indeed, the spectral fluctuations of many different systems like quantum billiards, atoms, or atomic nuclei hav[...]texto impreso
Relaño Pérez, Armando ; Faleiro, E. ; Gómez Gómez, José María ; Molina, R. A. ; Muñoz, L. ; Retamosa Granado, Joaquín | American Physical Society | 2004-12-10It was recently conjectured that 1/ƒ noise is a fundamental characteristic of spectral fluctuations in chaotic quantum systems. This conjecture is based on the power spectrum behavior of the excitation energy fluctuations, which is different for[...]
