3 papers
math-ph2008
A semi-classical inverse problem II: reconstruction of the potential
Yves Colin de Verdière
This paper is the continuation of our work with Victor Guillemin; Victor and I proved that the Taylor expansion of the potential at a generic non degenerate critical point is deter…
math-ph2008
A semi-classical inverse problem I: Taylor expansions
Yves Colin De Verdière, Victor Guillemin
In dimension 1, we show that the Taylor expansion of a potential near a generic non degenerate critical point can be recovered from the knowledge of the semi-classical spectrum of…
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…