Molecular predissociation resonances near an energy-level crossing II: Vector field interaction
Mathematical Physics
2016-07-05 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1607.00778,
title = {Molecular predissociation resonances near an energy-level crossing II: Vector field interaction},
author = {Setsuro Fujiie and André Martinez and Takuya Watanabe},
journal= {arXiv preprint arXiv:1607.00778},
year = {2016}
}
Comments
13 pages, 1 figure