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. Assuming that the interaction is a vector-field, we obtain optimal estimates on the location and on the widths of these resonances.
Fujiié, S., Martinez, A., Watanabe, T. (2017). Molecular predissociation resonances near an energy-level crossing II: Vector field interaction. JOURNAL OF DIFFERENTIAL EQUATIONS, 262(12), 5880-5895 [10.1016/j.jde.2017.02.017].
Molecular predissociation resonances near an energy-level crossing II: Vector field interaction
FUJIIE, SETSURO;MARTINEZ, ANDRE' GEORGES;WATANABE, TAKUYA
2017
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. Assuming that the interaction is a vector-field, we obtain optimal estimates on the location and on the widths of these resonances.File in questo prodotto:
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