 0067 Pavel Exner, Masao Hirokawa, Osamu Ogurisu
 Anomalous Pauli electron states for magnetic
fields with tails
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Feb 8, 00

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Abstract. We consider a twodimensional 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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