98-573 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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