On the Existence of the Dynamics for Anharmonic Quantum Oscillator Systems

Details On the Existence of the Dynamics for Anharmonic Quantum Oscillator Systems On the Existence of the Dynamics for Anharmonic Quantum Oscillator Systems

2009-09-11

arxiv.org/abs/0909.2249v1

Rev. Math. Phys., 22 (2010) 207-231

Physics

Mathematical Physics

Scientific paper

10.1142/S0129055X1000393X

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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