Sobolev, Hardy and CLR inequalities associated with Pauli operators in ℝ 3

Academic Article


  • In a previous article, the first two authors have proved that the existence of zero modes of Pauli operators is a rare phenomenon; inter alia, it is proved that for |B\ ∈ L3/2(ℝ3), the set of magnetic fields B which do not yield zero modes contains an open dense subset of [L3/2(ℝ3)]3. Here the analysis is taken further, and it is shown that Sobolev, Hardy and Cwikel-Lieb-Rosenbljum (CLR) inequalities hold for Pauli operators for all magnetic fields in the aforementioned open dense set.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Balinsky AA; Evans WD; Lewis RT
  • Volume

  • 34
  • Issue

  • 5