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math-ph2012
On the classical limit of self-interacting quantum field Hamiltonians with cutoffs
Zied Ammari, Maher Zerzeri
We study, using Hepp's method, the propagation of coherent states for a general class of self interacting bosonic quantum field theories with spatial cutoffs. This includes models…
math-ph2009
Propagation of chaos for many-boson systems in one dimension with a point pair-interaction
Z. Ammari, S. Breteaux
We consider the semiclassical limit of nonrelativistic quantum many-boson systems with delta potential in one dimensional space. We prove that time evolved coherent states behave s…