Hamiltonian dynamics of a particle interacting with a wave field
  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. 
Daniel Egli, J\"urg Fr\"ohlich, Zhou Gang, Arick Shao, Israel Michael   Sigal
math-ph math.AP math.MP