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arXiv · 2605.08372

Dispersive decay bounds for the SSH model on the half-line

Remy Kassem·Amir Sagiv·Michael I. Weinstein
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Abstract

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.

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Remy Kassem, Amir Sagiv, Michael I. Weinstein. 2026-05-08. Dispersive decay bounds for the SSH model on the half-line. https://arxiv.org/abs/2605.08372

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