High-energy Behavior of the Scattering Amplitude for a Dirac Operator | Zendy

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High-energy Behavior of the Scattering Amplitude for a Dirac Operator

Author(s) -

Hiroshi Ito

Publication year - 1995

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195163600

Subject(s) - scattering amplitude , scattering , amplitude , resolvent , dirac (video compression format) , quantum electrodynamics , operator (biology) , scattering theory , dirac operator , energy (signal processing) , matrix (chemical analysis) , s matrix , physics , mathematics , mathematical analysis , quantum mechanics , chemistry , biochemistry , repressor , chromatography , transcription factor , neutrino , gene

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.

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