Discrete Dirac systems on the semiaxis: rational reflection coefficients and Weyl functions
arXiv:1806.03632 · doi:10.1080/10236198.2019.1572126
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.
arXiv commentIn this paper, we derive discrete analogs of some results on reflection coefficients from arXiv:1801.10020
References in corpus (10)
- Algebraic construction of the Darboux matrix revisited
- Scattering matrices and Weyl functions
- Commutation Methods for Schroedinger Operators with Strongly Singular Potentials
- Discrete skew selfadjoint canonical systems and the isotropic Heisenberg magnet model
- Discrete Dirac system: rectangular Weyl functions, direct and inverse problems
- Characterization of self-adjoint extensions for discrete symplectic systems
- Verblunsky-type coefficients for Dirac and canonical systems generated by Toeplitz and Hankel matrices, respectively
- Skew-selfadjoint Dirac systems: stability of the procedure of explicit solving the inverse problem
- Scattering for general-type Dirac systems on the semi-axis: reflection coefficients and Weyl functions
- Skew-selfadjoint Dirac systems with rational rectangular Weyl functions: explicit solutions of direct and inverse problems and integrable wave equations