Zero modes in finite range magnetic fields

Abstract

We find a class of Fermion zero modes of Abelian Dirac operators in three dimensional Euclidean space where the gauge potentials and the related magnetic fields are nonzero only in a finite space region.

5 pages, Latex, no figures

References in corpus (1)

• Degeneracy of zero modes of the Dirac operator in three dimensions

Cited by in corpus (5)

• Zero modes in a system of Aharonov-Bohm fluxes
• Particle creation via relaxing hypermagnetic knots
• Chern-Simons action for zero-mode supporting gauge fields in three dimensions
• On Absence of Threshold Resonances for Schrodinger and Dirac Operators
• The symmetries of the Dirac--Pauli equation in two and three dimensions