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

2016/07/04 by Fujiie, Setsuro, Martinez, André, Watanabe, Takuya
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1607.00778

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.

Related

• Molecular predissociation resonances at an energy-level crossing
• Widths of resonances above an energy-level crossing
• Widths of highly excited resonances in multidimensional molecular predissociation
• Semiclassical resonances for matrix Schrödinger operators with vanishing interactions at crossings of classical trajectories
• Transition of the semiclassical resonance widths across a tangential crossing energy-level