2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99376We 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. PhysMathematical PhysicsCondensed MatterQuantum Physicstext