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arxiv: 0909.2249 · v1 · pith:7XGDHZT3new · submitted 2009-09-11 · 🧮 math-ph · math.MP· quant-ph

On the Existence of the Dynamics for Anharmonic Quantum Oscillator Systems

classification 🧮 math-ph math.MPquant-ph
keywords systemsanharmonicdynamicsoscillatorquantumapproachboundsclass
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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.

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