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Scattering theory of Dirac operator with the impulsive condition on whole axis
Author(s) -
Bairamov Elgiz,
Solmaz Şeyda
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6645
Subject(s) - mathematics , dirac (video compression format) , scattering , dirac operator , operator (biology) , matrix (chemical analysis) , mathematical analysis , scattering theory , mathematical physics , physics , quantum mechanics , biochemistry , chemistry , materials science , repressor , transcription factor , neutrino , composite material , gene
In this paper, we study the Jost solutions of the impulsive Dirac systems (IDS) on entire axis and examine analytic and asymptotic properties of these solutions. Furthermore, we obtain a general form of the scattering matrix of the IDS and its characteristic properties. Finally, we also compare the similar properties for the IDS with the mass on entire axis with an example.