ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract: We consider a particle coupled to a scalar wave field and subject to the slowly varying potential V(ɛq) with small ɛ. We prove that if the initial state is close, order ɛ2, to a soliton (=dressed particle), then the solution stays forever close to the soliton manifold. This estimate implies that over a time span of order ɛ−2 the radiation losses are negligible and that the motion of the particle is governed by the effective Hamiltonian H eff(q,P)=E(P)+V(ɛq) with energy-momentum relation E(P).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002200050023