An inverse scattering problem for eigenparameter-dependent discrete Dirac system with Levinson formula

DOI10.1080/17476933.2022.2159951MaRDI QIDQ6126839

Ram N. Mohapatra, Turhan Koprubasi

Publication date: 10 April 2024

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

zbMATH Keywords

eigenparameterscattering functionLevinson formuladiscrete Dirac equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Inverse scattering problems in quantum theory (81U40) Difference operators (39A70) Scattering theory of linear operators (47A40) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Cites Work

• Inverse problem for a class of Dirac operator
• Inverse spectral problems for Dirac operator with eigenvalue dependent boundary and jump conditions
• Eigenparameter dependent discrete Dirac equations with spectral singularities
• The inverse scattering problem for a discrete Dirac system on the whole axis
• Inverse scattering problem for the difference Dirac operator on a half-line
• Jost solutions and the spectrum of the system of difference equations.
• A boundary value problem for the Dirac system with a spectral parameter in the boundary conditions
• Direct and inverse spectral problems for a Dirac operator with non-local potential
• Investigation of the spectrum and the Jost solutions of discrete Dirac system on the whole axis
• Inverse scattering problem for nonstationary Dirac-type systems on the half-plane
• Discrete and continuous boundary problems
• Discrete Dirac system: rectangular Weyl functions, direct and inverse problems
• Direct and inverse problems for the Dirac operator with a spectral parameter linearly contained in a boundary condition
• Necessary and Sufficient Conditions for the Solvability of Inverse Problem for a Class of Dirac Operators
• Fourier Analysis and Its Applications
• Spectrum and scattering function of the impulsive discrete Dirac systems
• Spectrum and spectral expansion for the non-selfadjoint discrete Dirac operators
• Inverse spectral problem for Dirac operators by spectral data
• Scattering Properties of Impulsive Difference Dirac Equations
• Spectral analysis of discrete dirac equation with generalized eigenparameter in boundary condition
• Spectral properties of non-selfadjoint difference operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item