Alexander V. Sobolev
On the Lieb-Thirring Estimates for the Pauli Operator
The paper is published: Duke Math. J. 82, 3 (1996) 607-635

MSC:

35J10 Schrodinger operator, See also {35Pxx}

35P15 Estimation of eigenvalues, upper and lower bounds

Abstract: We establish Lieb-Thirring type estimates for the sums
$\sum_k |\l_k|^\g$ of the negative eigenvalues
$\l_k$ of the two-dimensional Pauli operator with a non-homogeneous
magnetic field perturbed by a decreasing electric potential.

Keywords: Pauli operator, Lieb-Thirring estimate, magnetic field