- 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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