418 citations · 1.8k across the 48 of their papers we have counts for
Showing 2009 · math-phShow all
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math-ph2009★ 43 cited
On the Existence of the Dynamics for Anharmonic Quantum Oscillator Systems
Bruno Nachtergaele, Benjamin Schlein, Robert Sims +2
We construct a W^*-dynamical system describing the dynamics of a class of anharmonic quantum oscillator lattice systems in the thermodynamic limit. Our approach is based on recentl…
math-ph2009★ 11 cited
A note on fractional moments for the one-dimensional continuum Anderson model
Eman Hamza, Robert Sims, Günter Stolz
We give a proof of dynamical localization in the form of exponential decay of spatial correlations in the time evolution for the one-dimensional continuum Anderson model via the fr…
math-ph2009★ 16 cited
Lieb-Robinson bounds for classical anharmonic lattice systems
Hillel Raz, Robert Sims
We prove locality estimates, in the form of Lieb-Robinson bounds, for classical oscillator systems defined on a lattice. Our results hold for the harmonic system and a variety of a…