Direct spectral problem for a Dirac operator with non-local potential

TL;DR

This paper develops a method to reconstruct non-local potentials of Dirac operators on finite segments using spectral data, and describes the spectral data for this class of operators.

Contribution

It introduces a novel reconstruction method for non-local potentials in Dirac operators based on spectral data.

Findings

Reconstruction method for non-local potentials is established.

Spectral data for Dirac operators with non-local potentials are characterized.

The approach enables potential recovery from spectral information.

Abstract

For a Dirac operator with non-local potential on a finite segment, a method of reconstruction of non-local potential from the spectral data is developed. Description of spectral data for such class of operators is given.