 98573 Komech A., Kunze M., Spohn H.=20
 Effective dynamics for a mechanical particle
coupled to a wave field
(57K, LATeX 2e)
Aug 24, 98

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Abstract. We consider a particle coupled to a scalar wave field and subject
to the slowly varying potential.
We prove that if the initial state is close to a
soliton (=3Ddressed particle), then the solution stays forever close to t=
he
soliton manifold. This estimate implies that over a the approriate
time span the radiation losses are negligible and that the motion of the
particle is governed by an effective Hamiltonian.
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