Hamiltonian Dynamics of a Particle Interacting with a Wave Field

DOI10.1080/03605302.2013.816857zbMath1281.35084arXiv1211.6154OpenAlexW3105194269MaRDI QIDQ5746984

Arick Shao, Zhou Gang, Jürg Fröhlich, Daniel Egli, Israel Michael Sigal

Publication date: 11 February 2014

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.6154

zbMATH Keywords

Schrödinger equationtraveling wavesBose-Einstein condensationHamiltonian dynamicsGross-Pitaevskii equationtracer particlequantum trajectoryparticle-field interaction

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Traveling wave solutions (35C07) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (5)

The effective mass problem for the Landau–Pekar equations ⋮ Emission of Cherenkov radiation as a mechanism for Hamiltonian friction ⋮ Ballistic motion of a tracer particle coupled to a Bose gas ⋮ Scattering for a particle interacting with a Bose gas ⋮ Quantum diffusion with drift and the Einstein relation. I

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