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|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|
|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.|
|Appears in Collections:||Mathematical Sciences publications|
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