# Localization Bounds for Multiparticle Systems

@article{Aizenman2008LocalizationBF, title={Localization Bounds for Multiparticle Systems}, author={Michael Aizenman and Simone Warzel}, journal={Communications in Mathematical Physics}, year={2008}, volume={290}, pages={903-934} }

We consider the spectral and dynamical properties of quantum systems of n particles on the lattice $${\mathbb{Z}^d}$$ , of arbitrary dimension, with a Hamiltonian which in addition to the kinetic term includes a random potential with iid values at the lattice sites and a finite-range interaction. Two basic parameters of the model are the strength of the disorder and the strength of the interparticle interaction. It is established here that for all n there are regimes of high disorder, and/or…

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