朗道能级上的指数公式和电荷亏损
Index formulas and charge deficiencies on the Landau levels
摘要：
从$KK$理论的角度研究了Avron，Seiler，Simon（Charge deficiency，charge transfer and comparison of dimensions，Comm. Math. Phys. 159）提出的电荷亏损的概念，并将其应用于$\C^n$中的朗道能级。利用Atiyah-Singer型指数定理计算了$\C^n$中高朗道能级的电荷亏损。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
