Anomalous Pauli Electron States for Magnetic Fields with Tails |
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| Authors: | Exner P Hirokawa M Ogurisu O |
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| Institution: | (1) Department of Theoretical Physics, Nuclear Physics Institute, Academy of Sciences, 25068 R ez , Czech Republic and;(2) Doppler Institute, Czech Technical University, B ehová 7, 11519 Prague, Czech Republic;(3) Department of Mathematics, Faculty of Science, Okayama University, 3-1-1 Tsushima-naka, Okayama, 700-8530, Japan;(4) Department of Computational Science, Faculty of Science, Kanazawa University, Kakuma-machi, Kanazawa, Ishikawa, 920, Japan |
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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
decay at infinity: we show that if
exceeds an integer N, there is at least
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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| Keywords: | Pauli operator discrete spectrum anomalous magnetic moment |
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