A semiclassical Birkhoff normal form for symplectic magnetic wells
Spectral Theory
2019-07-09 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
In this paper we construct a Birkhoff normal form for a semiclassical magnetic Schr{\"o}dinger operator with non-degenerate magnetic field, and discrete magnetic well, defined on an even dimensional riemannian manifold M. We use this normal form to get an expansion of the first eigenvalues in powers of h^{1/2}, and semiclassical Weyl asymptotics for this operator.
Keywords
Cite
@article{arxiv.1907.03493,
title = {A semiclassical Birkhoff normal form for symplectic magnetic wells},
author = {Léo Morin},
journal= {arXiv preprint arXiv:1907.03493},
year = {2019}
}