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20142026
most citedOn-Site and Off-Site Bound States of the Discrete Nonlinear Schrödinger Equation and the Peierls-Nabarro Barrier

6 citations · 8 across the 6 of their papers we have counts for

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math-ph2026

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

Remy Kassem, Amir Sagiv, Michael I. Weinstein

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 dispe…

math-ph2026

Continuum honeycomb Schrödinger operators with incommensurate line defects

Pierre Amenoagbadji, Michael I. Weinstein

We study wave propagation in 2D honeycomb structures with a non-commensurate or ``irrational'' line defect or edge. Our model is a Schrödinger operator which interpolates, across t…

math-ph2026

Pseudo-magnetism in a strained discrete honeycomb lattice

Xuenan Li, Michael I. Weinstein

Slowly varying nonuniform strains of non-magnetic wave propagating media with honeycomb symmetry induce an effective- or pseudo-magnetic field, a phenomenon observed first in graph…