Scattering of Solitons for Dirac Equation Coupled to a Particle
Mathematical Physics
2010-12-15 v1 math.MP
Abstract
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 manifold, converges in long time limit to a sum of traveling wave and outgoing free wave. The convergence holds in global energy norm. The proof uses spectral theory and the symplectic projection onto solitary manifold in the Hilbert phase space.
Keywords
Cite
@article{arxiv.1012.3109,
title = {Scattering of Solitons for Dirac Equation Coupled to a Particle},
author = {A. Komech and E. Kopylova and H. Spohn},
journal= {arXiv preprint arXiv:1012.3109},
year = {2010}
}