Index formulas and charge deficiencies on the Landau levels
Mathematical Physics
2014-11-20 v1 K-Theory and Homology
math.MP
Abstract
The notion of charge deficiency from Avron, Seiler, Simon (Charge deficiency, charge transport and comparison of dimensions, Comm. Math. Phys. 159) is studied from the view of -theory and is applied to the Landau levels in . We calculate the charge deficiencies of the higher Landau levels in by means of an Atiyah-Singer type index theorem.
Cite
@article{arxiv.1003.2865,
title = {Index formulas and charge deficiencies on the Landau levels},
author = {Magnus Goffeng},
journal= {arXiv preprint arXiv:1003.2865},
year = {2014}
}
Comments
18 pages