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Maximal speed of quantum propagation for the Hartree equation

Maximal speed of quantum propagation for the Hartree equation

AbstractWe prove maximal speed estimates for nonlinear quantum propagation in the context of the Hartree equation. More precisely, under some regularity and integrability assumptions on the pair (convolution) potential, we construct a set of energy and space localized initial conditions such that, up to time-decaying tails, solutions starting in this …