Higher order terms for the quantum evolution of a Wick observable within the Hepp method

Sébastien Breteaux
February 19, 2011
The Hepp method is the coherent state approach to the mean field dynamics for bosons or to the semiclassical propagation. A key point is the asymptotic evolution of Wick observables under the evolution given by a time-dependent quadratic Hamiltonian. This article provides a complete expansion with respect to the small parameter \epsilon > 0 which makes sense within the infinite-dimensional setting and fits with finite-dimensional formulae.
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