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

preprint2011arXivOpen access

Abstract

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 ε> 0 which makes sense within the infinite-dimensional setting and fits with finite-dimensional formulae.

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