Symplectic Techniques for Semiclassical Completely Integrable Systems
Analysis of PDEs
2007-05-23 v1 Symplectic Geometry
Spectral Theory
Abstract
This article is a survey of classical and quantum completely integrable systems from the viewpoint of local ``phase space'' analysis. It advocates the use of normal forms and shows how to get global information from glueing local pieces. Many crucial phenomena such as monodromy or eigenvalue concentration are shown to arise from the presence of non-degenerate critical points.
Cite
@article{arxiv.math/0407477,
title = {Symplectic Techniques for Semiclassical Completely Integrable Systems},
author = {San Vu Ngoc},
journal= {arXiv preprint arXiv:math/0407477},
year = {2007}
}
Comments
32 pages, 7 figures. Review article