Semiclassical analysis of the magnetic Laplacian on hyperbolic surfaces

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 Proceedings of the Journées EDP 2025 , is a concise overview of the main results obtained in [8, 9, 10].

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Publication Details

Journal
Journées Équations aux dérivées partielles
Published
2026-06-19
DOI
https://doi.org/10.5802/jedp.695
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
Field-Weighted Citation Impact
0.00
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article

Semiclassical analysis of the magnetic Laplacian on hyperbolic surfaces

Thibault Lefeuvre
Journées Équations aux dérivées partielles
Spectral Theory in Mathematical Physics
article

Semiclassical analysis of the magnetic Laplacian on hyperbolic surfaces

Thibault Lefeuvre
article en

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 Proceedings of the Journées EDP 2025 , is a concise overview of the main results obtained in [8, 9, 10].

Journées Équations aux dérivées partielles
Centre National de la Recherche Scientifique (FR), Université Paris Cité (FR), Institut de Mathématiques de Jussieu-Paris Rive Gauche (FR), Sorbonne Université (FR)
Openalex Percentile: Top 4%
Spectral Theory in Mathematical Physics
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