Symplectic Techniques for Semiclassical Completely Integrable Systems

Mathematics – Analysis of PDEs

Scientific paper

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32 pages, 7 figures. Review article

Scientific paper

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.

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