Finite volume approximation of the Anderson model

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In the Anderson model on Zd, we consider a sequence of its finite volume approximation { Hk }k and construct a set of sequences composed of the eigenvalues and eigenfunctions of { Hk } in the localized region I which converge to those of H simultaneously. For its proof, Minami's estimate turns out to be important. This result implies that, in the localized region, each eigenfunction behaves almost independently around their centers of localization.

Original languageEnglish
Article number042102
JournalJournal of Mathematical Physics
Issue number4
Publication statusPublished - 2007


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