Scattering asymptotics for a charged particle coupled to the Maxwell field

DOI10.1063/1.3567957zbMath1316.78002arXiv0807.1972OpenAlexW2037157266MaRDI QIDQ5263564

Herbert Spohn, Valeriĭ M. Imaikin, Alexander I. Komech

Publication date: 17 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.1972

Mathematics Subject Classification ID

Lasers, masers, optical bistability, nonlinear optics (78A60) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Motion of charged particles (78A35) Waves and radiation in optics and electromagnetic theory (78A40) Soliton solutions (35C08)

Related Items (14)

Asymptotic stability of stationary states in the wave equation coupled to a nonrelativistic particle ⋮ Attractors of Hamilton nonlinear PDEs ⋮ Global solution of the electromagnetic field-particle system of equations ⋮ Soliton asymptotics for systems of `field-particle' type ⋮ Asymptotic stability of solitons for nonlinear hyperbolic equations ⋮ On the stability of solitons for the Maxwell-Lorentz equations with rotating particle ⋮ On asymptotic stability of solitons for 2D Maxwell–Lorentz equations ⋮ Attractors of nonlinear Hamiltonian partial differential equations ⋮ On the Hamilton-Poisson structure and solitons for the Maxwell-Lorentz equations with spinning particle ⋮ On orbital stability of solitons for 2D Maxwell-Lorentz equations ⋮ On the Lagrangian theory for rotating charge in the Maxwell field ⋮ Friction in a model of Hamiltonian dynamics ⋮ On eigenfunction expansion of solutions to the Hamilton equations ⋮ Stability of solitons for a rotating charge with a fixed center of mass in the Maxwell field

Cites Work

• Soliton-type asymptotic and scattering for a charge coupled to the Maxwell field
• Soliton-type asymptotics for the coupled Maxwell-Lorentz equations
• On scattering of solitons for the Klein-Gordon equation coupled to a particle
• Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data
• Effective dynamics for a mechanical particle coupled to a wave field
• Nonlinear scattering: The states which are close to a soliton
• Asymptotic stability of solitary waves
• Scattering theory for a particle coupled to a scalar field.
• On asymptotic stability of solitary waves for nonlinear Schrödinger equations
• Rotating charge coupled to the Maxwell field: scattering theory and adiabatic limit
• Multichannel nonlinear scattering for nonintegrable equations
• Weighted energy decay for 3D Klein-Gordon equation
• Dynamics of Charged Particles and their Radiation Field
• Soliton-like asymptotics for a classical particle interacting with a scalar wave field
• Stabilization of solutions to nonlinear Schrödinger equations
• Scattering of solitons of the Klein–Gordon equation coupled to a classical particle
• Long—time asymptotics for the coupled maxwell—lorentz equations
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