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math-ph2006★ 5 cited
The width of resonances for slowly varying perturbations of one-dimensional periodic Schrödinger operators
Frédéric Klopp, Magali Marx
In this talk, we report on results about the width of the resonances for a slowly varying perturbation of a periodic operator. The study takes place in dimension one. The perturbat…
math-ph2005
Semi-classical determination of exponentially small intermode transitions for 1+1 space-time scattering systems
Magali Marx, Alain Joye
We consider the semiclassical limit of systems of autonomous PDE's in 1+1 space-time dimensions in a scattering regime. We assume the matrix valued coefficients are analytic in the…
math-ph2005★ 7 cited
On the eigenvalues for slowly varying perturbations of a periodic Schrödinger operator
Magali Marx
In this paper, I consider one-dimensional periodic Schr{ö}dinger operators perturbed by a slowly decaying potential. In the adiabatic limit, I give an asymptotic expansion of the e…