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Article overview
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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 | Abstract: | The 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 | Services: | Forum | Review | PDF | Favorites |
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