Non-Existence of Zero Resonances of Pauli Operators

Abstract

We shall show that the Pauli operator P_A = (D–A)²I₂ –σ · B has no zero resonances if A(x) is smooth and |A_j(x)| + |∇A_j(x)| ≤ C<x>^–ρ with ρ ≥ 2.