On the Zero Modes of Pauli Operators

Abstract

Two results are proved for nul PA, the dimension of the kernel of the Pauli operator [formula] in [L2(R3)]2: (i) for [formula], where [formula] is the magnetic field, nul PtA=0 except for a finite number of values of t in any compact subset of (0, ∞); (ii) [formula] contains an open dense subset of [L3/2(R3)]3. © 2000 Academic Press.