On the Dirac and Pauli Operators with Several Aharonov-Bohm Solenoids
Artikel i vetenskaplig tidskrift, 2006
We study the self-adjoint Pauli operators that can be realized as the
square of a self-adjoint Dirac operator and correspond to a magnetic field consisting of a finite number of Aharonov-Bohm solenoids and a regular part, and prove an Aharonov-Casher type formula for the number of zero-modes for these operators. We also see that essentially only one of the Pauli operators are spin-flip invariant, and this operator does not have any zero-modes.