Asymptotic Distribution of Negative Eigenvalues for Three Dimensional Pauli Operators with Nonconstant Magnetic Fields
Akihiro Shimomura
University of Tokyo, Japan

Abstract
We study the asymptotic distribution of negative eigenvalues of three dimensional Pauli operators with a two dimensional magnetic field and a three dimensional potential which decay to zero at infinity. For λ > 0 suffciently small, we estimate the number of eigenvalues less than −_λ_ of such Pauli operators.
Cite this article
Akihiro Shimomura, Asymptotic Distribution of Negative Eigenvalues for Three Dimensional Pauli Operators with Nonconstant Magnetic Fields. Publ. Res. Inst. Math. Sci. 38 (2002), no. 2, pp. 321–346
DOI 10.2977/PRIMS/1145476340