Under local spectral assumptions on the Bloch symbol h(k,X), H_ε admits L^{2}-normalized approximate eigenfunctions with residual O(ε^{m/2+1/4}) for m=1,2.
Anderson localization for Schrödinger operators onZ 2 with quasi-periodic potential
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Approximate eigenfunctions for some aperiodic crystals
Under local spectral assumptions on the Bloch symbol h(k,X), H_ε admits L^{2}-normalized approximate eigenfunctions with residual O(ε^{m/2+1/4}) for m=1,2.