The Fate of the Landau Levels under Perturbations of Constant Sign

Details The Fate of the Landau Levels under Perturbations of Constant Sign The Fate of the Landau Levels under Perturbations of Constant Sign

2009-01-14

arxiv.org/abs/0901.1957v2

Physics

Mathematical Physics

This version corrects an error in the statement of Theorem 2. To appear in International Mathematics Research Notices

Scientific paper

We show that the Landau levels cease to be eigenvalues if we perturb the 2D
Schr\"odinger operator with 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 arbitrary large,
finite or infinite, multiplicity of the perturbed problem.

Affiliated with

Also associated with

No associations

Rating

The Fate of the Landau Levels under Perturbations of Constant Sign does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Fate of the Landau Levels under Perturbations of Constant Sign, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Fate of the Landau Levels under Perturbations of Constant Sign will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-375277