Exponential localization for eigensections of the Bochner-Schrödinger operator

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

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Edge states induced by Iwatsuka Hamiltonians with positive magnetic fields
Quantization of edge currents along magnetic barriers and magnetic guides
Spectrum of the Iwatsuka Hamiltonian at thresholds
Champs magnétiques et inégalités de Morse pour la d-cohomologie. (Magnetic fields and Morse inequalities for d-cohomology)
Examples of absolutely continuous Schrödinger operators in magnetic fields
Caractérisation du spectre essentiel de l'opérateur de Schrödinger avec un champ magnétique. (Characterization of the essential spectrum of the Schrödinger operator with a magnetic field)
\(L^ p\)-theory of elliptic differential operators on manifolds of bounded geometry
On the extended nature of edge states of quantum Hall Hamiltonians
Semiclassical spectral analysis of the Bochner-Schrödinger operator on symplectic manifolds of bounded geometry
Edge states for generalized Iwatsuka models: magnetic fields having a fast transition across a curve
Edge currents and eigenvalue estimates for magnetic barrier Schrödinger operators
Quelques remarques sur le spectre de l'opérateur de schrödinger avec un champ magnétique
Edge States for the Magnetic Laplacian in Domains with Smooth Boundary
Generalized Bergman kernels on symplectic manifolds of bounded geometry
Effective operators on an attractive magnetic edge
Semiclassical asymptotic expansions for functions of the Bochner-Schrödinger operator
Semiclassical eigenvalue estimates under magnetic steps
On the spectrum of nondegenerate magnetic Laplacians

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