Non-Existence of Zero Resonances of Pauli Operators

MR2918144 Tsutomu MORITA Tsutomu MORITA Non-Existence of Zero Resonances of Pauli Operators Funkcialaj Ekvacioj. Serio Internacia 54 2011 367--381 http://fe.math.kobe-u.ac.jp/FE/FullPapers/54-3/54_367.pdf http://www.ams.org/mathscinet-getitem?mr=MR2918144 We shall show that the Pauli operator $P_A=(D-A)^2I_2 -\sigma \cdot B$ has no zero resonances if $A(x)$ is smooth and $|A_j(x)|+|\nabla A_j(x)|\le C\langle x \rangle^{-\rho}$ with $\rho\ge 2$. Pauli operators, Zero resonances, Zero modes. 35Q40, 35P99, 81Q10. 54-367 2011 Non-Existence of Zero Resonances of Pauli Operators Tsutomu MORITA Tsutomu MORITA

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