Dispersive decay bounds for the SSH model on the half-line
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914545909366784 |
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| author | Kassem, Remy Sagiv, Amir Weinstein, Michael I. |
| author_facet | Kassem, Remy Sagiv, Amir Weinstein, Michael I. |
| contents | We study the Schrödinger flow for the SSH model, a class of self-adjoint discrete dimer lattice Hamiltonians on the half-line. Using oscillatory integral techniques, we prove dispersive time-decay estimates, which quantify the spreading of energy throughout the lattice for a localized initial condition. Furthermore, we determine precise dependence of the constants in the decay rates on the parameters of the Hamiltonian. The analysis is complicated by the fact that as a consequence of the boundary condition, the expression for the propagator contains oscillatory integrals with nonintegrable singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_08372 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dispersive decay bounds for the SSH model on the half-line Kassem, Remy Sagiv, Amir Weinstein, Michael I. Mathematical Physics Analysis of PDEs 35Q We study the Schrödinger flow for the SSH model, a class of self-adjoint discrete dimer lattice Hamiltonians on the half-line. Using oscillatory integral techniques, we prove dispersive time-decay estimates, which quantify the spreading of energy throughout the lattice for a localized initial condition. Furthermore, we determine precise dependence of the constants in the decay rates on the parameters of the Hamiltonian. The analysis is complicated by the fact that as a consequence of the boundary condition, the expression for the propagator contains oscillatory integrals with nonintegrable singularities. |
| title | Dispersive decay bounds for the SSH model on the half-line |
| topic | Mathematical Physics Analysis of PDEs 35Q |
| url | https://arxiv.org/abs/2605.08372 |