The kernel of Dirac operators on $\S^3$ and $\R^3$
Mathematical Physics
2015-06-26 v1 math.MP
Abstract
In this paper we describe an intrinsically geometric way of producing magnetic fields on and 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 (Commun. Math. Phys. 104 (1986) 283-290).
Keywords
Cite
@article{arxiv.math-ph/0001036,
title = {The kernel of Dirac operators on $\S^3$ and $\R^3$},
author = {Laszlo Erdos and Jan Philip Solovej},
journal= {arXiv preprint arXiv:math-ph/0001036},
year = {2015}
}
Comments
51 pages