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.
@article{0605038,
author = {Rozenblum, Grigori and Tashchiyan, Grigory},
title = {On the Spectral Properties of the Perturbed Landau Hamiltonian},
journal = {arXiv},
volume = {2006},
number = {0},
year = {2006},
language = {en},
url = {http://dml.mathdoc.fr/item/0605038}
}
Rozenblum, Grigori; Tashchiyan, Grigory. On the Spectral Properties of the Perturbed Landau Hamiltonian. arXiv, Tome 2006 (2006) no. 0, . http://gdmltest.u-ga.fr/item/0605038/