00-67 Pavel Exner, Masao Hirokawa, Osamu Ogurisu

Anomalous Pauli electron states for magnetic fields with tails (39K, LaTeX 2e) Feb 8, 00

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Abstract. 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-\delta} 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.

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