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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…