Journal Article

Correlation Analysis of Quantum Fluctuations and Repulsion Effects of Classical Dynamics in <i>SU</i>(3) model

Shigeyasu Fujiwara and Fumihiko Sakata

in Progress of Theoretical Physics

Published on behalf of The Physical Society of Japan

Volume 110, issue 3, pages 499-516
Published in print September 2003 | ISSN: 0033-068X
Published online September 2003 | e-ISSN: 1347-4081 | DOI: http://dx.doi.org/10.1143/PTP.110.499
Correlation Analysis of Quantum Fluctuations and Repulsion Effects of Classical Dynamics in SU(3) model

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In many quantum systems, random matrix theory has been used to characterize quantum level fluctuations, which is known to be a quantum correspondent to a regular-to-chaos transition in classical systems. We present a new qualitative analysis of quantum and classical fluctuation properties by exploiting correlation coefficients and variances. It is shown that the correlation coefficient of the quantum level density is roughly inversely proportional relation to the variance of consecutive phase-space point spacings on the Poincaré section plane.

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