Periodic discrete Schrödinger operators on Z satisfy the optimal dispersive bound ||e^{-itH}ψ||_∞ ≤ M⟨t⟩^{-1/3}||ψ||_1, matching the free lattice rate for every period.
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Optimal dispersion for discrete periodic Schr\"odinger operators
Periodic discrete Schrödinger operators on Z satisfy the optimal dispersive bound ||e^{-itH}ψ||_∞ ≤ M⟨t⟩^{-1/3}||ψ||_1, matching the free lattice rate for every period.