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arXiv · 1003.2865

Index formulas and charge deficiencies on the Landau levels

Magnus Goffeng
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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 $KK$-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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Magnus Goffeng. 2010-03-15. Index formulas and charge deficiencies on the Landau levels. https://doi.org/10.1063/1.3277159

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