Relaño Pérez, ArmandoMolina, R. A.Retamosa Granado, JoaquínMuñoz, L.Faleiro, E.Gómez Gómez, José María2023-06-202023-06-202010[1] Berry M V and Tabor M 1977 Proc. R. Soc. London A 356 375 [2] Bohigas O, Giannoni M J and Schmidt C 1984 Phys. Rev. Lett. 52 1 [3] Heusler S, Müller S, Altland A, Braun P and Haake F 2007 Phys. Rev. Lett. 98 044103 [4] Relaño A, Gómez J M G, Molina R A, Retamosa J and Faleiro E 2002 Phys. Rev. Lett. 89 244102 [5] Mandelbrot B B 1999 Multifractals and 1/f noise Springer New York [6] Greis N P and Greenside H S 1991 Phys. Rev. A 44 2730 [7] Relaño A, Molina R A and Retamosa J 2004 Phys. Rev. E 70 017201 [8] Faleiro E, Gómez J M G, Muñoz L, Molina R A, Relaño A and Retamosa J 2004 Phys. Rev. Lett. 93 244101 [9] French J B, Kota V K B, Pandey A and Tomsovic S 1988 Ann. Phys. (N.Y.) 181 198 [10] Smith J O 2003 Mathematics of the Discrete Fourier Transform (DFT) ISBN 0 9745607-0-7 [http://ccrmawww. standford.edu/jos/mdft/] [11] Faleiro E, Kuhl U, Molina R A, Muñoz L, Relaño A and Retamosa J 2006 Phys. Lett. A 358 251 [12] Molina R A and Muñoz L et al 2007 Phys. Lett. B 644 25 [13] Agvaanluvsan U, Mitchell G E, Shriner Jr. J F and Pato M P 2003 Nucl. Instr. Meth. A 498 459 [14] Bohigas O and Pato M P 2006 Phys. Rev. E 74 036212 [15] García García A M 2006 Phys. Rev. E 73, 026213 [16] Gómez J M G, Relaño A, Retamosa J, Faleiro E, Salasnich L, Vranicar M and Robnik M 2005 Phys. Rev. Lett. 94 114101 [17] Santhanam M S and Bandyopadhayay J N 2005 Phys. Rev. Lett. 95 114101 [18] Robnik M 2006 Int. J. Bifurcation Chaos Appl. Sci. Eng. 16 1849 [19] Male C, Le Caër G and Delannay D 2007 Phys. Rev. E 76 042101 [20] Tomsovic S, Ullmo D 1994 Phys. Rev. E 50 145 [21] Relaño A 2008 Phys. Rev. Lett. 100 2241011742-658810.1103/physreva.80.032111https://hdl.handle.net/20.500.14352/44419© 2010 IOP Publishing Ltd. Symposium on Nuclear Physics (33rd. 2010. Morelos, México). This research has been supported in part by Spanish Government grant No. FIS2009-07277 and No. FIS2006-12783-C03-02, CSPD-2007 00042-Ingenio2010, and by the Universidad Complutense de Madrid grant UCM-910059. A.R. is supported by the CPAN Consolider program.The power spectrum of the δ_(n) statistic of quantum spectra presents 1/ƒ^(α) noise. For chaotic systems α = 1 while for regular systems α = 2. Although the transition from regularity to chaos is non universal, for a wide variety of systems with a mixed phase space the value of α is intermediate between 1 and 2 and can be related to the fraction of regular or chaotic orbits in the total phase space. This statistic can be a very useful tool for the analysis of experimental spectra, specially in the case of missing levels or spectral sequences with mixed symmetries.engAtribución 3.0 Españajournal articlehttp://dx.doi.org/10.1103/physreva.80.032111http://iopscience.iop.org/open access536Power SpectrumSymmetriesTermodinámica2213 Termodinámica