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

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

2011-02-19

arxiv.org/abs/1102.4018v1

Physics

Mathematical Physics

Scientific paper

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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