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Type: Journal article
Title: Evanescent coupling between discs: a model for near-integrable tunnelling
Author: Creagh, Stephen C.
Finn, Matthew David
Citation: Journal of Physics A, 2001; 34 (18):3791-3801
Publisher: Institute of Physics and IOP Publishing
Issue Date: 2001
ISSN: 0305-4470
School/Discipline: School of Mathematical Sciences : Applied Mathematics
Abstract: An analysis is provided of the splitting due to tunnelling of the energy levels in two-dimensional double-disk potentials. The formal setting of this problem is similar to that of tunnelling between tori in the near-integrable regime but is free of the difficulties arising from the existence of natural boundaries that are generic to such problems, enabling a systematic investigation of the relevant semiclassical theory. The semiclassical predictions are found to be consistent with exponentially accurate results obtained following reduction to a boundary-value problem. A numerical quantization is also performed and found to agree with the approximate results.
RMID: 0020075863
DOI: 10.1088/0305-4470/34/18/307
Appears in Collections:Mathematical Sciences publications

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