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Quantum Dynamics Generated by Long-Range Interactions for Lattice Fermion and Quantum Spins
We study the macroscopic dynamics of fermion and quantum-spin systems with long-range, or mean-field, interactions, which turns out to be equivalent to an intricate combination of classical and short-range quantum dynamics. ...
Classical dynamics generated by long-range interactions for lattice fermions and quantum spins
We study the macroscopic dynamical properties of fermion and quantum-spin systems with long-range, or mean-field, interactions. The results obtained are far beyond previous ones and require the development of a mathematical ...
Macroscopic Dynamics of the Strong-Coupling BCS-Hubbard Model,
The aim of the current paper is to illustrate, in a simple example, our recent, very general, rigorous results on the dynamical properties of fermions and quantum-spin systems with long-range, or meanfield, interactions, ...