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arXiv · 2605.01274

Resolving an interface problem for the Dirac equation by using the unified transform method

C. A. García-Bibiano
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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.

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C. A. García-Bibiano. 2026-05-02. Resolving an interface problem for the Dirac equation by using the unified transform method. https://arxiv.org/abs/2605.01274

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