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arxiv: 1607.00778 · v1 · pith:MZ4VCESHnew · submitted 2016-07-04 · 🧮 math-ph · math.MP

Molecular predissociation resonances near an energy-level crossing II: Vector field interaction

classification 🧮 math-ph math.MP
keywords resonancesinteractionnearanti-bondingassumingbondingcrossingdimensional
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We study the resonances of a two-by-two semiclassical system of one dimensional Schr\"odinger operators, near an energy where the two potentials intersect transversally, one of them being bonding, and the other one anti-bonding. Assuming that the interaction is a vector-field, we obtain optimal estimates on the location and on the widths of these resonances.

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