Symplectic inverse spectral theory for pseudodifferential operators
Spectral Theory
2008-08-22 v1 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
We prove, under some generic assumptions, that the semiclassical spectrum modulo O(h^2) of a one dimensional pseudodifferential operator completely determines the symplectic geometry of the underlying classical system. In particular, the spectrum determines the hamiltonian dynamics of the principal symbol.
Cite
@article{arxiv.0808.2862,
title = {Symplectic inverse spectral theory for pseudodifferential operators},
author = {San Vu Ngoc},
journal= {arXiv preprint arXiv:0808.2862},
year = {2008}
}
Comments
23 pages