Index formulas and charge deficiencies on the Landau levels
Index formulas and charge deficiencies on the Landau levels
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朗道水平上的指数公式和费用缺陷
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发表时间：
2010
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通讯作者：
M. Goffeng
中科院分区：
文献类型：
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作者：
M. Goffeng
电荷不足的概念由Avron等人[“Charge deficiency，charge transfer and comparison of dimensions，”Commun. Math.Phys.159，399（1994）]从算子代数的K-理论的角度研究了它，并将其应用于R^{2 n}中的朗道能级.利用Atiyah-Singer型指数定理计算了R^{2 n}中高朗道能级的电荷亏损。
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.