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math.AP2004★ 7 cited
Symplectic Techniques for Semiclassical Completely Integrable Systems
San Vu Ngoc
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…
math.AP2000
Singular Bohr-Sommerfeld Rules for 2D Integrable Systems
Yves Colin de Verdiere, San Vu Ngoc
In this paper, we describe Bohr-Sommerfeld rules for semi-classical completely integrable systems with 2 degrees of freedom with non degenerate singularities (Morse-Bott singularit…
math.AP1998
Bohr-Sommerfeld conditions for Integrable Systems with critical manifolds of focus-focus type
Vu Ngoc San
We present a detailed study, in the semi-classical regime , of microlocal properties of systems of two commuting h-PDO s , such that the joint principal s…