On the Spectral Properties of the Perturbed Landau Hamiltonian
Grigori Rozenblum, Grigory Tashchiyan
Abstract
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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