Index formulas and charge deficiencies on the Landau levels

Details Index formulas and charge deficiencies on the Landau levels Index formulas and charge deficiencies on the Landau levels

2010-03-15

arxiv.org/abs/1003.2865v1

J. Math. Phys. 51, 2010 (http://jmp.aip.org/jmapaq/v51/i2/p023509_s1).

Physics

Mathematical Physics

18 pages

Scientific paper

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 $KK$-theory and is applied to the Landau levels in
$\C^n$. We calculate the charge deficiencies of the higher Landau levels in
$\C^n$ by means of an Atiyah-Singer type index theorem.

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