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The classical model of an oscillator linearly coupled to a string captures,for a low price in technique, many general features of more realistic modelsfor describing a particle interacting with a field or an atom in aelectromagnetic cavity. The scattering matrix and the asymptotic in and outwaves on the string can be computed exactly and the phenomenon of resonantscattering can be introduced in the simplest way. The dissipation induced bythe coupling of the oscillator to the string can be studied completely. In thecase of a d'Alembert string, the backreaction leads to anAbraham-Lorentz-Dirac-like equation. In the case of a Klein-Gordon string, onecan see explicitely how radiation governs the (meta)stability of the(quasi)bounded mode.

Interaction with a field: a simple integrable model with backreaction