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

Mathematical Physics 2011-02-22 v1 math.MP

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

Keywords

Cite

@article{arxiv.1102.4018,
  title  = {Higher order terms for the quantum evolution of a Wick observable within the Hepp method},
  author = {Sébastien Breteaux},
  journal= {arXiv preprint arXiv:1102.4018},
  year   = {2011}
}
R2 v1 2026-06-21T17:28:51.831Z