Mean-Field Dynamics: Singular Potentials and Rate of Convergence
نویسندگان
چکیده
منابع مشابه
Mean-Field Dynamics: Singular Potentials and Rate of Convergence
We consider the time evolution of a system of N identical bosons whose interaction potential is rescaled by N. We choose the initial wave function to describe a condensate in which all particles are in the same one-particle state. It is well known that in the meanfield limit N → ∞ the quantum N -body dynamics is governed by the nonlinear Hartree equation. Using a nonperturbative method, we exte...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2010
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-010-1010-2