Communications in Partial Differential Equations · 2008 · 33 citations · 9 references
Natural SciencesPhysicsMathematical PhysicsQuantum MechanicsTheoretical PhysicsHamiltonian MechanicsPerturbation TheoryQuantum DynamicsQuantum Field TheorySpectral TheoryLandau LevelsLandau TheoryNon-degenerate Perturbation TheoryQuantum HamiltonianQuantum Mechanical Perturbation Theory
The Landau Hamiltonian governing the behavior of a quantum particle in dimension 2 in a constant magnetic field is perturbed by a compactly supported magnetic field and a similar electric field. We describe how the spectral subspaces change and how the Landau levels split under this perturbation.
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