Index formulas and charge deficiencies on the Landau levels

  title={Index formulas and charge deficiencies on the Landau levels},
  author={Magnus Goffeng},
  journal={Journal of Mathematical Physics},
  • Magnus Goffeng
  • Published 2 February 2010
  • Physics, Mathematics
  • Journal of Mathematical Physics
The notion of charge deficiency by Avron et al. [“Charge deficiency, charge transport and comparison of dimensions,” Commun. Math. Phys. 159, 399 (1994) ] is studied from the view of K-theory of operator algebras and is applied to the Landau levels in \R^{2n}. We calculate the charge deficiencies at the higher Landau levels in \R^{2n} by means of an Atiyah–Singer-type index theorem. 
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