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math-ph2008★ 158 cited
On the Mean-Field Limit of Bosons with Coulomb Two-Body Interaction
Juerg Froehlich, Antti Knowles, Simon Schwarz
In the mean-field limit the dynamics of a quantum Bose gas is described by a Hartree equation. We present a simple method for proving the convergence of the microscopic quantum dyn…
math-ph2007★ 13 cited
Semi-Classical Dynamics in Quantum Spin Systems
J. Froehlich, A. Knowles, E. Lenzmann
We consider two limiting regimes, the large-spin and the mean-field limit, for the dynamical evolution of quantum spin systems. We prove that, in these limits, the time evolution o…