Communications in Mathematical Physics

, Volume 253, Issue 2, pp 371–384

Spectral Gaps for Periodic Schrödinger Operators with Strong Magnetic Fields

Authors

    • Institute of MathematicsRussian Academy of Sciences
Article

DOI: 10.1007/s00220-004-1134-3

Cite this article as:
Kordyukov, Y. Commun. Math. Phys. (2005) 253: 371. doi:10.1007/s00220-004-1134-3

Abstract

We consider Schrödinger operators Hh=(ihd+A)*(ihd+A) with the periodic magnetic field B=dA on covering spaces of compact manifolds. Using methods of a paper by Kordyukov, Mathai and Shubin [14], we prove that, under some assumptions on B, there are in arbitrarily large number of gaps in the spectrum of these operators in the semiclassical limit of the strong magnetic field h→0.

Copyright information

© Springer-Verlag Berlin Heidelberg 2004