Bayesian analysis of level-spacing distributions for chaotic systems with broken symmetry

A. Y. Abul-Magd, C. Dembowski, H. L. Harney, and M. H. Simbel
Phys. Rev. E 65, 056221 – Published 21 May 2002
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Abstract

Bayesian inference is applied to the nearest-neighbor and next-nearest-neighbor spacing distributions of levels of coupled superconducting microwave billiards. The weakly coupled resonators are equivalent to a quantum system with a partially broken symmetry. The coupling parameters are obtained with help from Bayes’s theorem. This procedure does not require the introduction of a set of bins. The results are more accurate than those obtained from other bin-independent procedures.

  • Received 19 December 2001

DOI:https://doi.org/10.1103/PhysRevE.65.056221

©2002 American Physical Society

Authors & Affiliations

A. Y. Abul-Magd*, C. Dembowski, H. L. Harney, and M. H. Simbel*

  • Max-Planck-Institut für Kernphysik, D-69029, Heidelberg, Germany

  • *Permanent address: Faculty of Science, Zagazig University, Zagazig, Egypt.
  • Permanent address: Institut für Kernphysik der Technischen Hochschule Darmstadt, D-64289 Darmstadt, Germany.

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Vol. 65, Iss. 5 — May 2002

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