Little Magnetic Book

2014/05/30 by Nicolas Raymond, Raymond, Nicolas · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1405.7912

openalex publication_date 2014/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This book is devoted to the spectral analysis of the magnetic Laplacian in various geometric situations. In particular the influence of the geometry on the discrete spectrum is analysed in many asymptotic regimes.

Citations

• Symplectic manifolds and their lagrangian submanifolds
• Quantum mechanics with constraints
• Nonlinear Schrödinger evolution equations
• Zur Quantentheorie der Molekeln
• Magnetic WKB Constructions
• Contribution to the asymptotic analysis of the Landau-de Gennes functional

Cited by

• On shape optimization with large magnetic fields in two dimensions

Related

• On the spectrum of magnetic Laplacian on the Lieb lattice
• Spectral analysis of The magnetic Laplacian acting on discrete funnels
• Discrete spectrum of the magnetic Laplacian on perturbed half-planes
• Magnetic fields and boundary conditions in spectral and asymptotic analysis
• Magnetic Schroeodinger Operator: Geometry, Classical and Quantum Dynamics and Spectral Aymptotics