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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
During the last three decades the quest for chaos in nuclei has been quite intensive, both with theoretical calculations using nuclear models and with detailed analyses of experimental data. In this paper we outline the concept and characteristi[...]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
Muñoz Muñoz, Laura ; Molina, R. A. ; Gómez Gómez, José María ; Heusler, A. | IOP publishing ltd | 2018Theoretical calculations, especially shell-model calculations, have shown a strongly chaotic behavior of bound states at higher excitation energy, in regions of high level density. However, it had not been possible up to now to observe chaos in [...]texto impreso
Gómez Gómez, José María ; Molina, R. A. ; Relaño Pérez, Armando ; Retamosa Granado, Joaquín | American Physical Society | 2002-09The 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 ; 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
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
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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 ; Dukelsky, J. ; Gómez Gómez, José María ; Retamosa Granado, Joaquín | American Physical Society | 2004-08Using a class of exactly solvable models based on the pairing interaction, we show that it is possible to construct integrable Hamiltonians with a Wigner distribution of nearest-neighbor level spacings. However, these Hamiltonians involve many-b[...]texto impreso
The origin of Life is one of the fundamental mysteries still unsolved by the modern science. The actual dominant orthodox scientific paradigm in Biological Sciences has as fundamental tenets that Life is a natural phenomenon as well as that the [...]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[...]
