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[Keyword: Variance] AND [All Categories: Physical Chemistry] (1)	27 Mar 2025	Run
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articleNo Access
Spectral and parametric averaging for integrable systems
- Tao Ma and
- R. A. Serota
International Journal of Modern Physics B23 Jun 2015
Preview Abstract
We analyze two theoretical approaches to ensemble averaging for integrable systems in quantum chaos, spectral averaging (SA) and parametric averaging (PA). For SA, we introduce a new procedure, namely, rescaled spectral averaging (RSA). Unlike traditional SA, it can describe the correlation function of spectral staircase (CFSS) and produce persistent oscillations of the interval level number variance (IV). PA while not as accurate as RSA for the CFSS and IV, can also produce persistent oscillations of the global level number variance (GV) and better describes saturation level rigidity as a function of the running energy. Overall, it is the most reliable method for a wide range of statistics.

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