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arxiv: 1211.6154 · v1 · pith:HQDTPOOXnew · submitted 2012-11-26 · 🧮 math-ph · math.AP· math.MP

Hamiltonian dynamics of a particle interacting with a wave field

classification 🧮 math-ph math.APmath.MP
keywords interactingmotionparticleballisticcondensatehamiltoniansubsonicasymptotic
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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.

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