Level statistics of systems with infinitely many independent components based on the Berry-Robnik approach

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dc.creatorMakino, H.
dc.creatorTasaki, S.
dc.date2003-03-21
dc.date2004-03-26
dc.date.accessioned2026-07-07T05:34:37Z
dc.date.available2026-07-07T05:34:37Z
dc.descriptionAlong the line of thoughts of Berry and Robnik{\cite{Ber}}, the limiting gap distribution function of classically integrable quantum systems is derived in the limit of infinitely many independent components. The limiting gap distribution function is characterized by a single monotonically increasing function $\barμ(S)$ of the level spacing $S$, and the corresponding level spacing distribution is classified into three cases: (i) Poissonian if $\barμ(+\infty)=0$, (ii) Poissonian for large $S$, but possibly not for small $S$ if $0<\barμ(+\infty)< 1$, and (iii) sub-Poissonian if $\barμ(+\infty)=1$. This implies that even when the energy-level distributions of individual components are statistically independent, non-Poissonian level spacing distributions are possible.
dc.description19 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/nlin/0303046
dc.identifierhttp://arxiv.org/abs/nlin/0303046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80437
dc.subjectChaotic Dynamics
dc.titleLevel statistics of systems with infinitely many independent components based on the Berry-Robnik approach
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