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 suffciently small, we estimate the number of eigenvalues less than 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