Formes normales semi-classiques des systemes completement integrables au voisinage d'un point critique de l'application moment

Details Formes normales semi-classiques des systemes completement integrables au voisinage d'un point critique de l'application moment Formes normales semi-classiques des systemes completement integrables au voisinage d'un point critique de l'application moment

1998-03-09

arxiv.org/abs/math/9803027v1

Mathematics

Analysis of PDEs

1 figure, 28 pages, in french uses isolatin1.sty

Scientific paper

The semi-classical study of a 1-dimensional Schr\"odinger operator near a non-degenerate maximum of the potential has lead Colin de Verdi\`ere and Parisse to prove a microlocal normal form theorem for any 1-dimensional pseudo-differential operator with the same kind of singularity. We present here a generalization of this result to pseudo-differential integrable systems of any finite degree of freedom with a Morse singularity. Our results are based upon Eliasson's study of critical integrable systems.

Affiliated with

Also associated with

No associations

Rating

Formes normales semi-classiques des systemes completement integrables au voisinage d'un point critique de l'application moment does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Formes normales semi-classiques des systemes completement integrables au voisinage d'un point critique de l'application moment, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Formes normales semi-classiques des systemes completement integrables au voisinage d'un point critique de l'application moment will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-420315