On the third adjoint contractions.
On an example of phase-space tunneling
Scattering theory for the shape resonance model. II. Resonance scattering
Scattering theory for the shape resonance model. I. Non-resonant energies
The 2D Schrödinger equation for a neutral pair in a constant magnetic field
Remarks on the Fundamental Solution to Schrödinger Equation with Variable Coefficients
We consider Schrödinger operators on with variable coefficients. Let be the free Schrödinger operator and we suppose is a “short-range” perturbation of . Then, under the nontrapping condition, we show that the time evolution operator: can be written as a product of the free evolution operator and a Fourier integral operator which is associated to the canonical relation given by the classical mechanical scattering. We also prove a similar result for the wave operators. These results...
Lifshitz tails for some non monotonous random models
In this talk, we describe some recent results on the Lifshitz behavior of the density of states for non monotonous random models. Non monotonous means that the random operator is not a monotonous function of the random variables. The models we consider will mainly be of alloy type but in some cases we also can apply our methods to random displacement models.
Semiclassical resolvent estimates
Propagation of analytic singularities for the Schrödinger Equation
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