The kernel of dirac operators on S3 and R3

被引：41

作者：

Erdós, L ^{[1
]}

Solovej, JP

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

[2] Univ Copenhagen, Dept Math, DK-2100 Copenhagen, Denmark

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 2001年 / 13卷 / 10期

关键词：

D O I：

10.1142/S0129055X01000983

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we describe an intrinsically geometric way of producing magnetic fields on S-3 and R-3 for which the corresponding Dirac operators have a non-trivial kernel. In many cases we are able to compute the dimension of the kernel. In particular we can give examples where the kernel has any given dimension. This generalizes the examples of Loss and Yau [1].

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页码：1247 / 1280

页数：34

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