4.4 Article

Hamiltonian Dynamics of a Particle Interacting with a Wave Field

Journal

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
Volume 38, Issue 12, Pages 2155-2198

Publisher

TAYLOR & FRANCIS INC
DOI: 10.1080/03605302.2013.816857

Keywords

Bose-Einstein condensation; Gross-Pitaevskii equation; Hamiltonian dynamics; Particle-field interaction; Quantum trajectory; Schrodinger equation; Tracer particle; Traveling waves

Funding

  1. NSERC [NA7901]

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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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