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SUMMARY:Arnaud Triay: Derivation of the 3D quintic Gross-Pitaevskii equati
 on
DTSTART:20261020T083000Z
DTEND:20261020T093000Z
DTSTAMP:20260930T214400Z
UID:indico-event-17390@indico.math.cnrs.fr
DESCRIPTION:We derive the quintic non-linear Schrödinger equation from th
 e many-body dynamics of Bosons interacting with three-body interaction pot
 entials in the Gross-Pitaevskii regime. In this regime\, the short-range c
 orrelation structure between particles has a leading order role: the coupl
 ing parameter in the limiting equation is the correct scattering hyper vol
 ume. The proof relies on a new stability lemma needed to control effectiv
 e two-body terms in terms of the three-body interaction potential. This i
 s joint work with François Visconti.\n\nhttps://indico.math.cnrs.fr/event
 /17390/
URL:https://indico.math.cnrs.fr/event/17390/
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