Eigenfunctions at the threshold energies of magnetic dirac operators

Academic Article

Abstract

  • Discussed are ±m modes and ±m resonances of Dirac operators with vector potentials HA = α · (D - A(x)) + mβ. Asymptotic limits of ±m modes at infinity are derived when |A(x)| ≤ C〈x〉-ρ, ρ > 1, provided that HA has ±m modes. In wider classes of vector potentials, sparseness of the vector potentials which give rise to the ±m modes of HA are established. It is proved that no HA has ±m resonances if |A(x)| ≤ C〈x〉-ρ, ρ > 3/2. © 2011 World Scientific Publishing Company.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Saito Y; Umeda T
  • Start Page

  • 155
  • End Page

  • 178
  • Volume

  • 23
  • Issue

  • 2