Resolving an interface problem for the Dirac equation by using the unified transform method
Analysis of PDEs
2026-05-05 v1
Abstract
We use the Unified Transform Method (UTM) for the vector case to resolve an interface problem for the Dirac equation on two semi-infinite domains and two finite domains in the massless and massive cases, respectively. The UTM for the vector case is a variation of the UTM for the scalar case. The solutions obtained for an interface problem on two semi-infinite domains and two finite domains, respectively, in the massive case are convergent explicit integral representations.
Keywords
Cite
@article{arxiv.2605.01274,
title = {Resolving an interface problem for the Dirac equation by using the unified transform method},
author = {C. A. García-Bibiano},
journal= {arXiv preprint arXiv:2605.01274},
year = {2026}
}