Molecular predissociation resonances at an energy-level crossing

2015/06/05 by Setsuro Fujiié, Fujiié, Setsuro, André Martínez +3 · 1 citation
Physics and Astronomy · #35C20 #35P15 #35S99 #47A75 #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum optics and atomic interactions #Spectroscopy and Quantum Chemical Studies

paper · pdf · doi:10.48550/arxiv.1506.01785

openalex publication_date 2015/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• A class of analytic perturbations for one-body Schrödinger Hamiltonians

Cited by

• On the Born-Oppenheimer approximation of diatomic molecular resonances

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