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Showing 2010 · math-phShow all
3 papers · 2 filters
math-ph2010★ 1 cited
Scattering of Solitons for Dirac Equation Coupled to a Particle
A. Komech, E. Kopylova, H. Spohn
We establish soliton-like asymptotics for finite energy solutions to the Dirac equation coupled to a relativistic particle. Any solution with initial state close to the solitary ma…
math-ph2010★ 22 cited
Asymptotic completeness in a class of massless relativistic quantum field theories
Wojciech Dybalski, Yoh Tanimoto
This paper presents the first examples of massless relativistic quantum field theories which are interacting and asymptotically complete. These two-dimensional theories are obtaine…
math-ph2010★ 1 cited
Scattering of Solitons for Coupled Wave-Particle Equations
Valery Imaykin, Alexander Komech, Boris Vainberg
We establish a long time soliton asymptotics for a nonlinear system of wave equation coupled to a charged particle. The coupled system has a six dimensional manifold of soliton sol…