Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schrödinger Operators
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866908519165329408 |
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| author | Abdul-Rahman, Houssam Fillman, Jake Fischbacher, Christoph Liu, Wencai |
| author_facet | Abdul-Rahman, Houssam Fillman, Jake Fischbacher, Christoph Liu, Wencai |
| contents | We investigate periodic Schrödinger operators in arbitrary dimensions in the large coupling regime. Our results establish that both the Lieb--Robinson velocity and the asymptotic velocity decay at an inverse polynomial rate in the coupling, with the precise exponent determined by the period of the underlying potential. In particular, we obtain sharp polynomial decay rates that capture the precise dependence on the periodic structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04381 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schrödinger Operators Abdul-Rahman, Houssam Fillman, Jake Fischbacher, Christoph Liu, Wencai Mathematical Physics Spectral Theory We investigate periodic Schrödinger operators in arbitrary dimensions in the large coupling regime. Our results establish that both the Lieb--Robinson velocity and the asymptotic velocity decay at an inverse polynomial rate in the coupling, with the precise exponent determined by the period of the underlying potential. In particular, we obtain sharp polynomial decay rates that capture the precise dependence on the periodic structure. |
| title | Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schrödinger Operators |
| topic | Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/2509.04381 |