- 99-130 Hans Maassen, Madalin Guta, Dmitri Botvich
- Stability of Bose dynamical systems and branching theory
Apr 27, 99
(auto. generated ps),
of related papers
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.