{ "id": "1407.5292", "version": "v1", "published": "2014-07-20T14:01:21.000Z", "updated": "2014-07-20T14:01:21.000Z", "title": "Multidimensional tunneling between potential wells at non degenerate minima", "authors": [ "Anatoly Aniki", "Michel Rouleux" ], "comment": "6 pages, 1 figure, Conference Days on Diffraction 2014, Saint Petersburg, Russia", "categories": [ "math-ph", "math.MP" ], "abstract": "We consider tunneling between symmetric wells for a 2-D semi-classical Schr\\\"odinger operator for energies close to the quadratic minimum of the potential V in two cases: (1) excitations of the lowest frequency in the harmonic oscillator approximation of V; (2) more general excited states from Diophantine tori with comparable quantum numbers.", "revisions": [ { "version": "v1", "updated": "2014-07-20T14:01:21.000Z" } ], "analyses": { "keywords": [ "non degenerate minima", "potential wells", "multidimensional tunneling", "harmonic oscillator approximation", "symmetric wells" ], "tags": [ "conference paper" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1407.5292A" } } }