Eigenvalue variations and semiclassical concentration
Mathematical Physics
2009-12-08 v1 Analysis of PDEs
math.MP
Abstract
We show that the behaviour of analytic eigenbranches of a Schr\"odinger operator depends on the way eigenfunctions concentrate in the phase space.
Keywords
Cite
@article{arxiv.0912.1027,
title = {Eigenvalue variations and semiclassical concentration},
author = {Luc Hillairet},
journal= {arXiv preprint arXiv:0912.1027},
year = {2009}
}
Comments
to be published in the proceedings of the conference 'Spectrum and Dynamics', Montr\'eal, 2008