Landau levels on a compact manifold
type: Item
instance of: scholarly article
title: Landau levels on a compact manifold
zbMATH Open document ID: 1545.35035
author: Laurent Charles
published in: Annales Henri Lebesgue
publication date: 2024-08-08T00:00:00Z
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 58J05
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 47L80
zbMATH DE Number: 7893725
zbMATH Keywords: Laplacian
zbMATH Keywords: Riemann manifold
zbMATH Keywords: Hermitian line bundle
zbMATH Keywords: eigenvalues
zbMATH Keywords: Toeplitz algebras
MaRDI profile type: Publication
cites work: The Spectral Theory of Toeplitz Operators. (AM-99)
cites work: Q4111841
cites work: Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
cites work: Almost complex structures and geometric quantization
cites work: The semiclassical structure of low-energy states in the presence of a magnetic field
cites work: Geometry and spectra of compact Riemann surfaces
cites work: Berezin--Toeplitz operators, a semi-classical approach
cites work: Semi-classical properties of geometric quantization with metaplectic correction
cites work: Quantization of compact symplectic manifolds
cites work: Champs magnétiques et inégalités de Morse pour la d''-cohomologie. (Magnetic fields and Morse inequalities for d''-cohomology)
cites work: Prequantum transfer operator for symplectic Anosov diffeomorphism
cites work: Q3902194
cites work: Q3794848
cites work: Quantum mechanics and quantum Hall effect on Riemann surfaces
cites work: Berezin-Toeplitz quantization associated with higher Landau levels of the Bochner Laplacian
cites work: Semiclassical spectral analysis of the Bochner-Schrödinger operator on symplectic manifolds of bounded geometry
cites work: Diamagnetismus der Metalle.
cites work: The spin\(^{\mathbf c}\) Dirac operator on high tensor powers of a line bundle
cites work: Holomorphic Morse inequalities and Bergman kernels
cites work: Generalized Bergman kernels on symplectic manifolds
cites work: Introduction to symplectic topology
cites work: Q5653193
cites work: Q2736011
cites work: Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds
cites work: Holomorphic spectral geometry of magnetic Schrödinger operators on Riemann surfaces
cites work: Q4399451
DOI: 10.5802/AHL.194
description: scientific article; zbMATH DE number 7893725