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Index formulas and charge deficiencies on the Landau levels

Magnus Goffeng (Institutionen för matematiska vetenskaper, matematik)
Journal of Mathematical Physics (0022-2488). Vol. 51 (2010), 2, p. article ID 023509 [18 pages].
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: eigenvalues and eigenfunctions, Landau levels, mathematical operators, quantum theory

Denna post skapades 2011-01-10. Senast ändrad 2015-07-09.
CPL Pubid: 132717


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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)


Matematisk analys
Algebra och geometri

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