Functional models and self-modeling property of minimal Dirac operators on the half-line
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866910090290790400 |
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| author | Belishev, M. I. Simonov, S. A. |
| author_facet | Belishev, M. I. Simonov, S. A. |
| contents | We prove that minimal Dirac operators on the half-line are self-modeling, which means that such an operator is determined by its arbitrary unitary copy uniquely up to a transformation (shape equivalence) which changes its potential by a constant factor of modulus one. This result is obtained using the wave functional model of the minimal matrix Schrödinger operator on the half-line. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_30001 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Functional models and self-modeling property of minimal Dirac operators on the half-line Belishev, M. I. Simonov, S. A. Mathematical Physics 47A99, 47B25, 35R30 We prove that minimal Dirac operators on the half-line are self-modeling, which means that such an operator is determined by its arbitrary unitary copy uniquely up to a transformation (shape equivalence) which changes its potential by a constant factor of modulus one. This result is obtained using the wave functional model of the minimal matrix Schrödinger operator on the half-line. |
| title | Functional models and self-modeling property of minimal Dirac operators on the half-line |
| topic | Mathematical Physics 47A99, 47B25, 35R30 |
| url | https://arxiv.org/abs/2603.30001 |