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1/fα noise and integrable systems

J. C. Barba, F. Finkel, A. González-López, and M. A. Rodríguez

  • Departamento de Física Teórica II, Universidad Complutense, 28040 Madrid, Spain

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Phys. Rev. E 80, 047201 – Published 5 October, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.047201

Abstract

In this paper, we show that there is a family of well-known integrable systems whose spectral fluctuations decay as 1/f4, and thus do not follow the 1/f2 law recently conjectured for integrable systems. We present a simple theoretical justification of this fact, and propose an alternative characterization of quantum chaos versus integrability formulated directly in terms of the power spectrum of the spacings of the unfolded spectrum.

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Phys. Rev. E 80, 047201– Published 5 October, 2009
  • Received 14 May 2009

© 2009 American Physical Society

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