Rotating charge coupled to the Maxwell field: Scattering theory and adiabatic limit

Valery Imaikin, Alexander Komech, Herbert Spohn

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

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 languageEnglish
Pages (from-to)143-156
Number of pages14
JournalMonatshefte fur Mathematik
Volume142
Issue number1-2
DOIs
StatePublished - 2004

Keywords

  • Adiabatic limit
  • Scattering
  • Soliton-type asymptotics
  • Spinning charge coupled to Maxwell field

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