DIRECT PROBLEM OF SCATTERING THEORY FOR A SYSTEM OF DIRAC DIFFERENTIAL EQUATIONS ON THE SEMI-AXIS IN THE CASE OF FINITE DENSITY

Abstract

In this paper, we study the direct scattering problem on the semi-axis for the system of Dirac differential equations in the case of finite density with the boundary condition ????1(0) = ????2(0). The spectrum was studied, the resolvent and spectral expansion in terms of eigenfunctions of the Dirac operator were constructed.

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DOI

10.31857/s0374064124030029

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