We study the high-energy behavior of the scattering amplitude and the total scattering cross section for a Dirac operator with a 4 x 4 matrix-valued potential. Moreover, in the electro-magnetic case, it is shown that the electric potential and the magnetic field can be reconstructed from the high-energy behavior of the scattering amplitude. The study of the high-energy behavior of the resolvent estimates is crucial for our proof.
Cite this article
Hiroshi T. Ito, High-energy Behavior of the Scattering Amplitude for a Dirac Operator. Publ. Res. Inst. Math. Sci. 31 (1995), no. 6, pp. 1107–1133DOI 10.2977/PRIMS/1195163600