A semi-classical inverse problem I: Taylor expansions
Mathematical Physics
2008-02-13 v1 Analysis of PDEs
math.MP
Spectral Theory
Abstract
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 the associated Schr\"odinger operator near the corresponding critical value.
Cite
@article{arxiv.0802.1605,
title = {A semi-classical inverse problem I: Taylor expansions},
author = {Yves Colin De Verdière and Victor Guillemin},
journal= {arXiv preprint arXiv:0802.1605},
year = {2008}
}
Comments
15 pages