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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.01274 |
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| _version_ | 1866910185057943552 |
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| author | García-Bibiano, C. A. |
| author_facet | García-Bibiano, C. A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_01274 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Resolving an interface problem for the Dirac equation by using the unified transform method García-Bibiano, C. A. Analysis of PDEs 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. |
| title | Resolving an interface problem for the Dirac equation by using the unified transform method |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2605.01274 |