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4 papers · 2 filters
Large deviations and support results for nonlinear Schrodinger equations with additive noise and applications
Eric Gautier
Sample path large deviations for the laws of the solutions of stochastic nonlinear Schrodinger equations when the noise converges to zero are presented. The noise is a complex addi…
Linear vs. nonlinear effects for nonlinear Schrodinger equations with potential
Remi Carles
We review some recent results on nonlinear Schrodinger equations with potential, with emphasis on the case where the potential is a second order polynomial, for which the interacti…
From Bloch model to the rate equations II: the case of almost degenerate energy levels
Brigitte Bidegaray-Fesquet, Francois Castella, Eric Dumas +1
Bloch equations give a quantum description of the coupling between an atom and a driving electric force. In this article, we address the asymptotics of these equations for high fre…
Scattering theory for the Schrodinger equation with repulsive potential
Jean-Francois Bony, Remi Carles, Dietrich Haefner +1
We consider the scattering theory for the Schrodinger equation with as a reference Hamiltonian, for , in any space dimension. We prove that when this Hamilto…