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Scarring effects on tunneling in chaotic double-well potentials | | W E Bies
; L Kaplan
; E J Heller
; | | Date: |
30 Jun 2001 | | Journal: | Phys Rev E, 64 (1 Pt 2), 016204 | | 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 2 pi Planck’s over 2 pi 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-Planck’s over 2 pi effects are discussed, and connections are made with reaction rates and resonance widths in metastable wells. | | Source: | PubMed, pmid11461364 | | Other source: | [GID 4135] nlin.CD/0007037 | | Services: | Forum | Review | Favorites | |
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