Anomalous Pauli electron states for magnetic fields with tails

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dc.creatorExner, Pavel
dc.creatorHirokawa, Masao
dc.creatorOgurisu, Osamu
dc.date1999-09-10
dc.date2000-02-08
dc.date.accessioned2026-07-07T06:33:58Z
dc.date.available2026-07-07T06:33:58Z
dc.descriptionWe 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.
dc.description12 pages, LaTeX2e; the final version, to appear in Lett. Math. Phys
dc.identifierhttps://arxiv.org/abs/math-ph/9909011
dc.identifierhttp://arxiv.org/abs/math-ph/9909011
dc.identifierLett. Math. Phys. 50 (1999), 103-114
dc.identifierdoi:10.1023/A:1007679721268
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99376
dc.subjectMathematical Physics
dc.subjectCondensed Matter
dc.subjectQuantum Physics
dc.titleAnomalous Pauli electron states for magnetic fields with tails
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