Semiclassical analysis of the magnetic Laplacian on hyperbolic surfaces
Analysis of PDEs
2026-01-09 v1 Differential Geometry
Dynamical Systems
Abstract
The magnetic Laplacian on hyperbolic surfaces provides a rich analytic framework in which a variety of quantum phenomena emerge. The present note, written for the \emph{Proceedings of the Journ\'ees EDP 2025}, is a concise overview of the main results obtained in [arXiv:2505.08584] and work in preparation by the author with L. Charles and A. Chabert.
Keywords
Cite
@article{arxiv.2601.04804,
title = {Semiclassical analysis of the magnetic Laplacian on hyperbolic surfaces},
author = {Thibault Lefeuvre},
journal= {arXiv preprint arXiv:2601.04804},
year = {2026}
}
Comments
To appear in Journ\'ees \'equations aux d\'eriv\'ees partielles (2025)