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29 March 2024
 
  » arxiv » nlin.CD/0007037

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Scarring Effects on Tunneling in Chaotic Double-Well Potentials
W. E. Bies ; L. Kaplan ; E. J. Heller ;
Date 26 Jul 2000
Journal Phys. Rev. E 64, 016204 (2001)
Subject Chaotic Dynamics; Mesoscopic Systems and Quantum Hall Effect | nlin.CD cond-mat.mes-hall
AbstractThe connection between scarring and tunneling in chaotic double-well potentials is studied in detail through the distribution of level splittings. The mean level splitting is found to have oscillations as a function of energy, as expected if scarring plays a role in determining the size of the splittings, and the spacing between peaks is observed to be periodic of period {$2pihbar$} in action. Moreover, the size of the oscillations is directly correlated with the strength of scarring. These results are interpreted within the theoretical framework of Creagh and Whelan. The semiclassical limit and finite-{$hbar$} effects are discussed, and connections are made with reaction rates and resonance widths in metastable wells.
Source arXiv, nlin.CD/0007037
Other source [GID 4135] pmid11461364
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