Birkhoff Normal Forms in Semi-classical Inverse Problems


The purpose of this note is to apply the recent results on semi-classical trace formulæ [17], and on quantum Birkhoff normal forms for semi-classical Fourier Operators [12] to inverse problems. We show how the classical Birkhoff normal form can be recovered from semi-classical spectral invariants. In fact the full quantum Birkhoff normal form of the quantum… (More)


Cite this paper

@inproceedings{Iantchenko2008BirkhoffNF, title={Birkhoff Normal Forms in Semi-classical Inverse Problems}, author={Alexei Iantchenko and Johannes Sjoestrand and Maciej Zworski}, year={2008} }