English

WKB constructions in bidimensional magnetic wells

Spectral Theory 2017-11-15 v1

Abstract

This article establishes, in an analytic framework and in two dimensions, the first WKB constructions describing the eigenfunctions of the pure magnetic Laplacian with low energy when the magnetic field has a unique minimum that is positive and non-degenerate.

Cite

@article{arxiv.1711.04475,
  title  = {WKB constructions in bidimensional magnetic wells},
  author = {Yannick Bonthonneau and Nicolas Raymond},
  journal= {arXiv preprint arXiv:1711.04475},
  year   = {2017}
}

Comments

11pages

R2 v1 2026-06-22T22:43:53.256Z