On the inverse problem for the Dirac operator Article

Li, X. (2007). On the inverse problem for the Dirac operator . INVERSE PROBLEMS, 23(3), 919-932. 10.1088/0266-5611/23/3/005

cited authors

  • Li, X

authors

abstract

  • In this paper we study the inverse scattering problem and the inverse boundary value problem for the Dirac operator with compact supported potential. We prove a 'gauge equation' for two potentials of arbitrary forms when their corresponding scattering amplitudes at fixed energy or Dirichlet-to-Dirichlet maps are the same. We also use this equation to determine the generalized magnetic potential up to a gauge equivalent class. © 2007 IOP Publishing Ltd.

publication date

  • June 1, 2007

published in

Digital Object Identifier (DOI)

start page

  • 919

end page

  • 932

volume

  • 23

issue

  • 3