185 citations
- Institut de recherche mathématique de RennesFR8 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Infineon Technologies (Germany)DE1 paper
- Institut FourierFR1 paper
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR1 paper
- Laboratoire de Mathématiques Blaise PascalFR1 paper
- Laboratoire de Mathématiques Nicolas OresmeFR1 paper
- Max Planck Institute for Solid State ResearchDE1 paper
- Max Planck SocietyDE1 paper
- Tilburg UniversityNL1 paper
- Université de MontpellierFR1 paper
- Université Grenoble AlpesFR1 paper
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math.AP2004★ 22 cited
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…
math.AP2004
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…
math.AP2004★ 28 cited
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…