TY - JOUR

T1 - Anomalous Pauli electron states for magnetic fields with tails

AU - Exner, P.

AU - Hirokawa, M.

AU - Ogurisu, O.

N1 - Funding Information:
We thank the referee for a useful comment. The research has been partially supported by GAAS and Czech Ministry of Education under the contracts 1048801 and ME170. M.H. was supported by Grant-in-Aid 11740109 for Encouragement of Young Scientists from Japan Society for the Promotion of Science.

PY - 1999/10/2

Y1 - 1999/10/2

N2 - 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.

AB - 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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U2 - 10.1023/A:1007679721268

DO - 10.1023/A:1007679721268

M3 - Article

AN - SCOPUS:0007376244

VL - 50

SP - 103

EP - 114

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 2

ER -