Scattering theory for a particle coupled to a scalar field.

DOI10.3934/dcds.2004.10.387zbMath1052.37057OpenAlexW2024405195MaRDI QIDQ1433928

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

Publication date: 1 July 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2004.10.387

zbMATH Keywords

large time behaviorscattering solutionssoliton-like asymptoticsCoulombic travelling wavessingle charge coupled to a scalar wave field

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Soliton equations (35Q51) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Motion of charged particles (78A35)

Related Items (12)

Nonlinear Scattering in the Lamb System ⋮ Attractors of Hamilton nonlinear PDEs ⋮ Scattering of solitons for the Schrödinger equation coupled to a particle ⋮ Soliton asymptotics for systems of `field-particle' type ⋮ Attractors of nonlinear Hamiltonian partial differential equations ⋮ On global attractors and radiation damping for nonrelativistic particle coupled to scalar field ⋮ On scattering of solitons for the Klein-Gordon equation coupled to a particle ⋮ Energy growth for a nonlinear oscillator coupled to a monochromatic wave ⋮ Scattering of solitons for coupled wave-particle equations ⋮ On asymptotic completeness for scattering in the nonlinear lamb system ⋮ Scattering asymptotics for a charged particle coupled to the Maxwell field ⋮ On quantum jumps and attractors of the Maxwell-Schrödinger equations

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