Limite semi-classique pour l'équation de Schrödinger non-linéaire avec potentiel harmonique

This Note is dedicated to the semiclassical limit of the nonlinear focusing Schrödinger equation with a harmonic potential. The method does not use a linearization argument as is usually done, but the conservation laws (quantum and classical) and the stability of the ground state. To cite this article: S. Keraani, C. R. Acad. Sci. Paris, Ser. I 340 (2005).