99-130 Hans Maassen, Madalin Guta, Dmitri Botvich
Stability of Bose dynamical systems and branching theory (336K, PostScript) Apr 27, 99
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Abstract. Stability under small nonlinear perturbations is proved for a class of linear quantum dynamical systems, including the harmonic oscillator coupled to a free Bose field and the infinite harmonic chrystal. The main tool is an estimate of Dyson's time-dependent perturbation series, based on a labeling of its terms by rooted trees.

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