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Statistical analysis of composite spectra
Faculty
Science
Year:
2006
Type of Publication:
Article
Pages:
560-580
Authors:
SIMBEL, MH, WEIDENMULLER, HA, Abul-Magd, AY, Harney, HL
DOI:
10.1016/j.aop.2005.04.005
Journal:
ANNALS OF PHYSICS ACADEMIC PRESS INC ELSEVIER SCIENCE
Volume:
321
Research Area:
Physics
ISSN
ISI:000235559800002
Keywords :
chaos, short level sequences
Abstract:
We consider nearest-neighbor spacing distributions of composite ensembles of levels. These are obtained by combining independently unfolded sequences of levels containing only few levels each. Two problems arise in the spectral analysis of such data. One problem lies in fitting the nearest-neighbor spacing distribution to the histogram of level spacings obtained from the data. We show that the method of Bayesian inference is superior to this procedure. The second problem occurs when one unfolds such short sequences. We show that the unfolding procedure generically leads to an overestimate of the chaoticity parameter. This trend is absent in the presence of long-range level correlations. Thus, composite ensembles of levels from a system with long-range spectral stiffness yield reliable information about the chaotic behavior of the system. (c) 2005 Elsevier Inc. All rights reserved.
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