Reflectionless Dirac operators and canonical systems
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914992325918720 |
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| author | Remling, Christian Zeng, Jie |
| author_facet | Remling, Christian Zeng, Jie |
| contents | We study canonical systems that are reflectionless on an open set. In this situation, the two half line $m$ functions are holomorphic continuations of each other and may thus be combined into a single holomorphic function. This idea was explored in [11], and we continue these investigations here. We focus on Dirac operators and especially their interplay with canonical systems, and we provide a more general and abstract framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20218 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Reflectionless Dirac operators and canonical systems Remling, Christian Zeng, Jie Spectral Theory Mathematical Physics Complex Variables 34B20 34L40 81Q10 We study canonical systems that are reflectionless on an open set. In this situation, the two half line $m$ functions are holomorphic continuations of each other and may thus be combined into a single holomorphic function. This idea was explored in [11], and we continue these investigations here. We focus on Dirac operators and especially their interplay with canonical systems, and we provide a more general and abstract framework. |
| title | Reflectionless Dirac operators and canonical systems |
| topic | Spectral Theory Mathematical Physics Complex Variables 34B20 34L40 81Q10 |
| url | https://arxiv.org/abs/2410.20218 |