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Nonlinear Sciences > Chaotic Dynamics

arXiv:nlin/0304018 (nlin)
[Submitted on 11 Apr 2003]

Title:Wavefunction Statistics using Scar States

Authors:Soo-Young Lee, Stephen C. Creagh
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Abstract: We describe the statistics of chaotic wavefunctions near periodic orbits using a basis of states which optimise the effect of scarring. These states reflect the underlying structure of stable and unstable manifolds in phase space and provide a natural means of characterising scarring effects in individual wavefunctions as well as their collective statistical properties. In particular, these states may be used to find scarring in regions of the spectrum normally associated with antiscarring and suggest a characterisation of templates for scarred wavefunctions which vary over the spectrum. The results are applied to quantum maps and billiard systems.
Comments: 31 pages, 11 figures, to appear in Annals of Physics
Subjects: Chaotic Dynamics (nlin.CD)
Cite as: arXiv:nlin/0304018 [nlin.CD]
  (or arXiv:nlin/0304018v1 [nlin.CD] for this version)
  https://doi.org/10.48550/arXiv.nlin/0304018
Journal reference: Ann. Phys. (N.Y.), vol. 307, pp 392-420 (2003)
Related DOI: https://doi.org/10.1016/S0003-4916%2803%2900081-2

Submission history

From: Soo-Young Lee [view email]
[v1] Fri, 11 Apr 2003 15:47:58 UTC (714 KB)
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