Radu Purice : Peirl's substitution at the bottom of the spectrum in the absence of Wannier functions
Posted by Irina Nenciu , part of the Analysis and Applied Mathematics Seminar.
- At
- April 8, 2019, 4 p.m.
- In
- 636 SEO
- Abstract
- Consider a periodic Schrödinger operator in two dimensions, perturbed by a weak magnetic fi eld whose intensity slowly varies in space. We show in great generality that the bottom of the spectrum of the corresponding magnetic Schrödinger operator develops spectral islands separated by gaps, reminicent of a Landau-level structure.