On the Spectral Properties of the Perturbed Landau Hamiltonian

Details On the Spectral Properties of the Perturbed Landau Hamiltonian On the Spectral Properties of the Perturbed Landau Hamiltonian

2006-05-11

arxiv.org/abs/math-ph/0605038v1

Physics

Mathematical Physics

36 pages

Scientific paper

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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