THE KERNEL OF DIRAC OPERATORS ON ${\mathbb S}^3$ AND ℝ3-Reference-Cited by-同舟云学术

THE KERNEL OF DIRAC OPERATORS ON ${\mathbb S}^3$ AND ℝ3

Published:2001-10 Issue:10 Volume:13 Page:1247-1280
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

ERDŐS LÁSZLÓ¹,SOLOVEJ JAN PHILIP²

Affiliation:

1. School of Mathematics, Georgia Institute of Technology, Atlanta GA-30332, USA

2. Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen, Denmark

Abstract

In this paper we describe an intrinsically geometric way of producing magnetic fields on [Formula: see text] and ℝ3 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].

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X01000983

Reference9 articles.

1. Stability of coulomb systems with magnetic fields

2. Stability of coulomb systems with magnetic fields

3. Stability of Coulomb systems with magnetic fields

4. Harmonic Spinors

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