Arnaud Triay: Derivation of the 3D quintic Gross-Pitaevskii equation

Organisé par

Institut Henri Poincaré

We derive the quintic non-linear Schrödinger equation from the many-body dynamics of Bosons interacting with three-body interaction potentials in the Gross-Pitaevskii regime. In this regime, the short-range correlation structure between particles has a leading order role: the coupling parameter in the limiting equation is the correct scattering hyper volume. The proof relies on a new stability lem

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