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Anomalous Pauli electron states for magnetic fields with tails

Pavel Exner·Masao Hirokawa·Osamu Ogurisu
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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-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.

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Pavel Exner, Masao Hirokawa, Osamu Ogurisu. 2000-02-08. Anomalous Pauli electron states for magnetic fields with tails. https://doi.org/10.1023/a%3A1007679721268

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