E. Landaª, I. Moralesª, C. Hernándezª, J.C. López Vieyraª, A. Frankª, and V. Velázquezb
ª Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70–543, México, D.F. 04510 México.
b Facultad de Ciencias, Universidad Nacional Autónoma de México, México, D.F. 04510 México.
Recibido el 15 de abril de 2008
Aceptado el 9 de mayo de 2008
]]> Abstract
A Detrended Fluctuation Analysis (DFA) method is applied to investigate the scaling properties of the energy fluctuations in the spectrum of 48Ca obtained with (a) a large realistic shell model calculation (ANTOINE code) and (b) with a random shell model (TBRE) calculation. We compare the scale invariant properties of the energy fluctuations with similar analyses applied to the RMT ensembles GOE and GDE. A comparison with the related power spectra calculations is made. The possible consequences of these results are discussed.
Keywords: Quantum chaos; scale invariance; TBRE; DFA.
Resumen
Se aplica el método DFA (Detrended Fluctuation Analysis) para investigar las propiedades de escalamiento de las fluctuaciones de la energía en el espectro del 48Ca obtenido con (a) un cálculo del modelo de capas realista (codigo ANTOINE) y con (b) un cálculo del modelo de capas aleatorio (TBRE). Comparamos las propiedades invariantes de escala de las fluctuaciones de energía con analisis similares aplicados a ensembles GOE y GDE de la teoría de matrices aleatorias (RMT). Se hace una comparación con cálculos relacionados de espectro de potencias. Se discute las posibles consecuencias de esos resultados.
Descriptores: Caos cuántico; invariancia de escala; TBRE; DFA.
PACS:05.45.Mt;24.60.Lz;52.25.Gj;74.40.+k;89.75.Da
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Acknowledgments
We are grateful to Jose Barea for his many suggestions. We thank H. Larralde for his valuable comments. This work was supported in part by PAPIIT–UNAM and Conacyt–México.
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