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Article Dans Une Revue Reviews in Mathematical Physics Année : 2010

On the Existence of the Dynamics for Anharmonic Quantum Oscillator Systems

Résumé

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 recently proved Lieb-Robinson bounds for such systems on finite lattices.

Dates et versions

hal-00421834 , version 1 (04-10-2009)

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Bruno Nachtergaele, Benjamin Schlein, Robert Sims, Shannon Starr, Valentin Zagrebnov. On the Existence of the Dynamics for Anharmonic Quantum Oscillator Systems. Reviews in Mathematical Physics, 2010, 22 (2), pp.207. ⟨10.1142/S0129055X1000393X⟩. ⟨hal-00421834⟩
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