Scattering for a particle interacting with a Bose gas

Tristan Léger

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arXiv · 1902.03012

Scattering for a particle interacting with a Bose gas

Tristan Léger

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Abstract

We study the asymptotic behavior of solutions to an ODE - Schr\"{o}dinger type system that models the interaction of a particle with a Bose gas. We show that the particle has a ballistic trajectory asymptotically, and that the wave function describing the Bose gas converges to a soliton in $L^{\infty}.$

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Tristan Léger. 2019-02-08. Scattering for a particle interacting with a Bose gas. https://arxiv.org/abs/1902.03012

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