A semiclassical Birkhoff normal form for symplectic magnetic wells

  • Léo Morin

    Université de Rennes, France
A semiclassical Birkhoff normal form for symplectic magnetic wells cover
Download PDF

This article is published open access under our Subscribe to Open model.

Abstract

In this paper we construct a Birkhoff normal form for a semiclassical magnetic Schrödinger operator with non-degenerate magnetic field, and discrete magnetic well, defined on an even-dimensional Riemannian manifold . We use this normal form to get an expansion of the first eigenvalues in powers of , and semiclassical Weyl asymptotics for this operator.

Cite this article

Léo Morin, A semiclassical Birkhoff normal form for symplectic magnetic wells. J. Spectr. Theory 12 (2022), no. 2, pp. 459–496

DOI 10.4171/JST/406