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- W4386937315 abstract "We consider a quintic Hartree equation for a random field, which describes the temporal evolution of a infinitely many fermions, considering a three body interaction. We show a scattering result around a non-localised equilibria of the equation, for high dimensions $dgeq 4$. The Hartree equation for random variables was introduced by Anne-Sophie de Suzzoni but only for a two body interaction, that leads to a cubic Hartree equation for random variables. Scattering results for the cubic Hartree equation have been shown by Charles Collot and Anne-Sophie de Suzzoni, and we extend those results to the quintic Hartree equation. We consider a large range of potentials that includes the Dirac delta." @default.
- W4386937315 created "2023-09-22" @default.
- W4386937315 creator A5092918139 @default.
- W4386937315 date "2023-09-19" @default.
- W4386937315 modified "2023-10-16" @default.
- W4386937315 title "A Scattering Result Around a Non-Localised Equilibria for the Quintic Hartree Equation for Random Fields" @default.
- W4386937315 doi "https://doi.org/10.48550/arxiv.2309.10500" @default.
- W4386937315 hasPublicationYear "2023" @default.
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