On absolutely continuous spectrum for one-channel unitary operators
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909328232939520 |
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| author | Bourget, Olivier Moreno, Gregorio Sadel, Christian Taarabt, Amal |
| author_facet | Bourget, Olivier Moreno, Gregorio Sadel, Christian Taarabt, Amal |
| contents | In this paper, we develop the radial transfer matrix formalism for unitary one-channel operators. This generalizes previous formalisms for CMV matrices and scattering zippers. We establish an analog of Carmona's formula and deduce criteria for absolutely continuous spectrum which we apply to random Hilbert Schmidt perturbations of periodic scattering zippers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08898 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On absolutely continuous spectrum for one-channel unitary operators Bourget, Olivier Moreno, Gregorio Sadel, Christian Taarabt, Amal Mathematical Physics Functional Analysis Spectral Theory 47B15, 47B36, 82B44 In this paper, we develop the radial transfer matrix formalism for unitary one-channel operators. This generalizes previous formalisms for CMV matrices and scattering zippers. We establish an analog of Carmona's formula and deduce criteria for absolutely continuous spectrum which we apply to random Hilbert Schmidt perturbations of periodic scattering zippers. |
| title | On absolutely continuous spectrum for one-channel unitary operators |
| topic | Mathematical Physics Functional Analysis Spectral Theory 47B15, 47B36, 82B44 |
| url | https://arxiv.org/abs/2405.08898 |