On the Spectral Properties of the Landau Hamiltonian Perturbed by a moderately Decaying Magnetic Field

Details On the Spectral Properties of the Landau Hamiltonian Perturbed by a moderately Decaying Magnetic Field On the Spectral Properties of the Landau Hamiltonian Perturbed by a moderately Decaying Magnetic Field

2009-01-20

arxiv.org/abs/0901.3036v2

Mathematics

Spectral Theory

Scientific paper

The Landau Hamiltonian, describing the behavior of a quantum particle in
dimension 2 in a constant magnetic field, is perturbed by a magnetic field with
power-like decay at infinity and a similar electric potential. We describe how
the spectral subspaces change and how the Landau levels split under this
perturbation.

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