Anomalous Pauli electron states for magnetic fields with tails

Exner, Pavel; Hirokawa, Masao; Ogurisu, Osamu

Anomalous Pauli electron states for magnetic fields with tails

Authors

Exner, Pavel

Hirokawa, Masao

Ogurisu, Osamu

Description

We consider a two-dimensional electron with an anomalous magnetic moment, g>2, interacting with a nonzero magnetic field B perpendicular to the plane which gives rise to a flux F. Recent results about the discrete spectrum of the Pauli operator are extended to fields with the O(r^{-2-δ}) decay at infinity: we show that if |F| exceeds an integer N, there is at least N+1 bound states. Furthermore, we prove that weakly coupled bound states exist under mild regularity assumptions also in the zero flux case.
12 pages, LaTeX2e; the final version, to appear in Lett. Math. Phys