16 citations · 59 across the 17 of their papers we have counts for
20 papers
Widths of resonances above an energy-level crossing
Setsuro Fujiié, André Martinez, Takuya Watanabe
We study the existence and location of the resonances of a semiclassical system of coupled Schrödinger operators, in the case where the two electronic levels cross at s…
Molecular dynamics at an energy-level crossing
Philippe Briet, André Martinez
This paper is a continuation of a previous work about the study of the survival probability modelizing the molecular predissociation in the Born-Oppenheimer framework. Here we cons…
Widths of highly excited resonances in multidimensional molecular predissociation
André Martinez, Vania Sordoni
We investigate the simple resonances of a 2 by 2 matrix of n-dimensional semiclassical Shrödinger operators that interact through a first order differential operator. We assume tha…
Excited resonance widths for Helmholtz resonators with straight neck
Thomas Duyckaerts, Alain Grigis, André Martinez
We consider resonances associated with excited eigenvalues of the cavity of a general Helmholtz resonator with straight neck. Under the assumption that the neck stays away from the…
Molecular predissociation resonances near an energy-level crossing II: Vector field interaction
Setsuro Fujiie, André Martinez, Takuya Watanabe
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…
Widths of highly excited shape resonances
André Martinez, Marzia Dalla Venezia
We study the widths of shape resonances for the semiclassical multi-dimensional Schrödinger operator, in the case where the frequency remains close to some value strictly larger th…