01-234 Denis Krutikov, Christian Remling

Schr\"odinger operators with sparse potentials: asymptotics of the Fourier transform of the spectral measure (64K, LaTeX) Jun 29, 01

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Abstract. We study the POINTWISE behavior of the Fourier transform of the spectral measure for discrete one-dimensional Schr\"odinger operators with sparse potentials. We find a resonance structure which admits a physical interpretation in terms of a simple quasiclassical model. We also present an improved version of known results on the spectrum of such operators.

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