Abstract
We consider a spinning charge coupled to the Maxwell field. Through the appropriate symmetry in the initial conditions the charge remains at rest. We establish that any time-dependent finite energy solution converges to a sum of a soliton wave and an outgoing free wave. The convergence holds in global energy norm. Under a small constant external magnetic field the soliton manifold is stable in local energy seminorms and the evolution of the angular velocity is guided by an effective finite-dimensional dynamics. The proof uses a non-autonomous integral inequality method.
Original language | English |
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Pages (from-to) | 143-156 |
Number of pages | 14 |
Journal | Monatshefte fur Mathematik |
Volume | 142 |
Issue number | 1-2 |
DOIs | |
State | Published - 2004 |
Keywords
- Adiabatic limit
- Scattering
- Soliton-type asymptotics
- Spinning charge coupled to Maxwell field