Rotating Charge Coupled to the Maxwell Field: Scattering Theory and Adiabatic Limit

Valery Imaikin (), Alexander Komech () and Herbert Spohn ()
Additional contact information
Valery Imaikin: University of Vienna, Institute of Mathematics
Alexander Komech: University of Vienna, Institute of Mathematics
Herbert Spohn: TU München, Zentrum Mathematik

A chapter in Nonlinear Differential Equation Models, 2004, pp 143-156 from Springer

Abstract: 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.

Keywords: Spinning charge coupled to Maxwell field; soliton-type asymptotics; scattering; adiabatic limit (search for similar items in EconPapers)
Date: 2004
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7091-0609-9_11

Ordering information: This item can be ordered from
http://www.springer.com/9783709106099

DOI: 10.1007/978-3-7091-0609-9_11

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().