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

Downloads

DOI:

https://doi.org/10.4067/S0719-06462012000200006

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.

Keywords

Mean field limit , semiclassical limit , coherent states , squeezed states
  • Sébastien Breteaux IRMAR, UMR-CNRS 6625, Université de Rennes 1, campus de Beaulieu, 35042 Rennes Cedex, France. ENS de Cachan, Antenne de Bretagne, Campus de Ker Lann, Av. R. Schuman, 35170 Bruz, France.
  • Pages: 91–109
  • Date Published: 2012-06-01
  • Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal

Downloads

Download data is not yet available.

Published

2012-06-01

How to Cite

[1]
S. Breteaux, “Higher order terms for the quantum evolution of a Wick observable within the Hepp method”, CUBO, vol. 14, no. 2, pp. 91–109, Jun. 2012.

Issue

Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal

Section

Articles