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- W1589221980 abstract "We present the first rigorous result on Anderson localization for interacting systems of quantum particles subject to a deterministic (e.g., almost periodic) disordered external potential. For a particular class of deterministic, fermionic, Anderson-type Hamiltonians on the lattice of an arbitrary dimension, and for a large class of underlying dynamical systems generating the external potential, we prove that the spectrum is pure point, all eigenstates are unimodal and feature a uniform exponential decay. In contrast to all prior mathematical works on multi-particle Anderson localization, we do not use the induction on the number of particles." @default.
- W1589221980 created "2016-06-24" @default.
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- W1589221980 date "2014-02-27" @default.
- W1589221980 modified "2023-09-27" @default.
- W1589221980 title "Uniform N-particle Anderson localization and unimodal eigenstates in deterministic disordered media without induction on the number of particles" @default.
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