Anomalous Pauli electron states for magnetic fields with tails

P. Exner, M. Hirokawa, O. Ogurisu

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)103-114
Number of pages12
JournalLetters in Mathematical Physics
Volume50
Issue number2
DOIs
Publication statusPublished - Oct 2 1999
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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