The Fate of the Landau Levels under Perturbations of Constant Sign | OUP Journals & Magazine | IEEE Xplore

The Fate of the Landau Levels under Perturbations of Constant Sign

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Abstract:

We show that the Landau levels cease to be eigenvalues if we perturb the 2D Schrödinger operator with a constant magnetic field, by bounded electric potentials of fixed s...Show More

Abstract:

We show that the Landau levels cease to be eigenvalues if we perturb the 2D Schrödinger operator with a constant magnetic field, by bounded electric potentials of fixed sign. We also show that, if the perturbation is not of fixed sign, then any Landau level may be an eigenvalue of the perturbed problem.
Published in: International Mathematics Research Notices ( Volume: 2009, Issue: 24, 2009)
Page(s): 4726 - 4734
Date of Publication: 2009

ISSN Information: