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math.AP2020
The Hartree functional in a double well
Alessandro Olgiati, Nicolas Rougerie
We consider a non-linear Hartree energy for bosonic particles in a symmetric double-well potential. In the limit where the wells are fare apart and the potential barrier is high, w…
math.AP2020★ 7 cited
Scaling limits of bosonic ground states, from many-body to nonlinear Schr{ö}dinger
Nicolas Rougerie
How and why may an interacting system of many particles be described assuming that all particles are independent and identically distributed ? This question is at least as old as s…