Discrete Dirac systems on the semiaxis: rational reflection coefficients and Weyl functions

2018/06/10 by B. Fritzsche, B. Kirstein, I. Ya. Roitberg +1
Mathematics · Physics and Astronomy · #math.SP #math-ph #math.MP #msc:39A10 #msc:39A12 #msc:47A40

paper · pdf · doi:10.1080/10236198.2019.1572126

published as J. Difference Equ. Appl. 25 (2019), pp. 294--304 · In this paper, we derive discrete analogs of some results on reflection coefficients from arXiv:1801.10020

arxiv created 2018/06/10 · arxiv updated 2020/07/03

Abstract

We consider the cases of the self-adjoint and skew-self-adjoint discrete Dirac systems, obtain explicit expressions for reflection coefficients and show that rational reflection coefficients and Weyl functions coincide.

Citations

• Scattering for general-type Dirac systems on the semi-axis: reflection coefficients and Weyl functions