Quantum spectrum as a time series : Fluctuation measures

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dc.creatorSanthanam, M. S.
dc.creatorBandyopadhyay, Jayendra N.
dc.creatorAngom, Dilip
dc.date2005-08-30
dc.date2006-03-30
dc.date.accessioned2026-07-07T06:43:15Z
dc.date.available2026-07-07T06:43:15Z
dc.descriptionThe fluctuations in the quantum spectrum could be treated like a time series. In this framework, we explore the statistical self-similarity in the quantum spectrum using the detrended fluctuation analysis (DFA) and random matrix theory (RMT). We calculate the Hausdorff measure for the spectra of atoms and Gaussian ensembles and study their self-affine properties. We show that DFA is equivalent to $Δ_3$ statistics of RMT, unifying two different approaches.We exploit this connection to obtain theoretical estimates for the Hausdorff measure.
dc.description4+ pages. 2 figures
dc.identifierhttps://arxiv.org/abs/nlin/0508035
dc.identifierhttp://arxiv.org/abs/nlin/0508035
dc.identifierPhys. Rev. E 73, 015201(R) (2006)
dc.identifierdoi:10.1103/PhysRevE.73.015201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102346
dc.subjectChaotic Dynamics
dc.subjectOther Condensed Matter
dc.subjectQuantum Physics
dc.titleQuantum spectrum as a time series : Fluctuation measures
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