A note on the RAGE Theorem and phase-averaged dispersion for the Fibonacci Hamiltonian
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915659514904576 |
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| author | Leclerc, Gaétan |
| author_facet | Leclerc, Gaétan |
| contents | We find a weaker condition on spectral measures, "eventual absolute continuity", that ensure quantum delocalization as in the RAGE Theorem in the case of purely absolutely continuous spectrum. We then adapt these idea to strongly improve some phase-averaged delocalization bounds for the Fibonacci quasicrystal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06844 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on the RAGE Theorem and phase-averaged dispersion for the Fibonacci Hamiltonian Leclerc, Gaétan Spectral Theory Mathematical Physics Dynamical Systems Functional Analysis 81Q10, 81Q35, 47A10 We find a weaker condition on spectral measures, "eventual absolute continuity", that ensure quantum delocalization as in the RAGE Theorem in the case of purely absolutely continuous spectrum. We then adapt these idea to strongly improve some phase-averaged delocalization bounds for the Fibonacci quasicrystal. |
| title | A note on the RAGE Theorem and phase-averaged dispersion for the Fibonacci Hamiltonian |
| topic | Spectral Theory Mathematical Physics Dynamical Systems Functional Analysis 81Q10, 81Q35, 47A10 |
| url | https://arxiv.org/abs/2512.06844 |