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Hamiltonian dynamics of a particle interacting with a wave field

Mathematical Physics 2016-09-14 v1 Analysis of PDEs math.MP

Abstract

We study the Hamiltonian equations of motion of a heavy tracer particle interacting with a dense weakly interacting Bose-Einstein condensate in the classical (mean-field) limit. Solutions describing ballistic subsonic motion of the particle through the condensate are constructed. We establish asymptotic stability of ballistic subsonic motion.

Keywords

Cite

@article{arxiv.1211.6154,
  title  = {Hamiltonian dynamics of a particle interacting with a wave field},
  author = {Daniel Egli and Jürg Fröhlich and Zhou Gang and Arick Shao and Israel Michael Sigal},
  journal= {arXiv preprint arXiv:1211.6154},
  year   = {2016}
}

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39 pages