Global uniqueness for an inverse problem for the magnetic schrödinger operator

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Abstract

In this paper, we prove the global uniqueness of determining both the magneticfield and the electrical potential by boundary measurements in two-dimensional case. In other words, we prove the uniqueness of this inverse problem without any smallness assumption.

Original languageEnglish (US)
Pages (from-to)59-73
Number of pages15
JournalInverse Problems and Imaging
Volume5
Issue number1
DOIs
StatePublished - Feb 1 2011

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Keywords

  • Cauchy data
  • Dirichlet-to-Neumann map
  • Electrical potential
  • Magnetic fielel
  • The Pauli Hamiltonian

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