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Non-Existence of Zero Resonances of Pauli Operators

Non-Existence of Zero Resonances of Pauli Operators

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