Spectrum and scattering function of the impulsive discrete Dirac systems | Zendy

Elgiz Bairamov | Zendy; Şeyda Solmaz | Zendy

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Spectrum and scattering function of the impulsive discrete Dirac systems

Author(s) -

Elgiz Bairamov,

Şeyda Solmaz

Publication year - 2018

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1806-5

Subject(s) - mathematics , dirac (video compression format) , eigenvalues and eigenvectors , spectrum (functional analysis) , mathematical analysis , gravitational singularity , function (biology) , scattering , dirac comb , discrete spectrum , mathematical physics , dirac equation , dirac algebra , quantum mechanics , physics , dirac spinor , evolutionary biology , neutrino , biology

In this paper, we investigate analytical and asymptotic properties of the Jost solution and Jost function of the impulsive discrete Dirac equations. We also study eigenvalues and spectral singularities of these equations. Then we obtain characteristic properties of the scattering function of the impulsive discrete Dirac systems. Therefore, we find the Jost function, point spectrum, and scattering function of the unperturbed impulsive equations.

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