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paper

Molecular predissociation resonances at an energy-level crossing

arXiv:1506.01785

Abstract

We study the resonances of a two-by-two semiclassical system of one dimensional Schrödinger operators, near an energy where the two potentials intersect transversally, one of them being bonding, and the other one anti-bonding. Under an ellipticity condition on the interaction, we obtain optimal estimates on the location and on the widths of these resonances.

30 pages, 1 figure