06-118 V.Grinshpun

Pure Point Spectrum in the Anderson Model with Unbounded Random Potential (22K, LaTeX) Apr 14, 06

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Abstract. The Anderson model with the unbounded random potential (independent random variables with identical probability distributions of unbounded support and bounded density) is established to have only pure point spectrum (complete system of localized wave-functions) with probability one in arbitrary dimension. The respective result is deduced via trace-class perturbation analysis as a consequence of the new original result on absence of pure singular continuous spectrum of random perturbations (1999).

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