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. 321–346DOI 10.2977/PRIMS/1145476340