Spectral analysis near the low ground energy of magnetic Pauli operators
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2016
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Abstract
We are interested in 3-D magnetic Pauli operators perturbed by a 2 x 2 Hermitian matrix-valued potential V = V(x), x is an element of R-3. We extend to the Pauli case the Breit-Wigner-type approximation and trace formula results obtained for the 3-D Schrodinger operator near the Landau levels. Hence, we give a link between the resonances and the spectral shift function near the low ground energy of the operators. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.