Higher order terms for the quantum evolution of a Wick observable within the Hepp method
-
Sébastien Breteaux
sebastien.breteaux@ens-cachan.org
Downloads
DOI:
https://doi.org/10.4067/S0719-06462012000200006Abstract
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
Similar Articles
- Volodymyr Sushch, Discrete model of Yang-Mills equations in Minkowski space , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
- M. Angélica Astaburuaga, Víctor H. Cortés, Claudio Fernández, Rafael Del Río, Estabilidad espectral y resonancias para perturbaciones de rango finito y singulares , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
- Takahiro Sudo, A covering dimension for ð¶*-algebras , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
- Laurent Amour, Jérémy Faupin, The confined hydrogenoid ion in non-relativistic quantum electrodynamics , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal
- Abderemane Morame, Françoise Truc, Accuracy on eigenvalues for a Schrödinger operator with a degenerate potential in the semi-classical limit , CUBO, A Mathematical Journal: Vol. 9 No. 2 (2007): CUBO, A Mathematical Journal
- Iris A. López, On the hypercontractive property of the Dunkl-Ornstein-Uhlenbeck semigroup , CUBO, A Mathematical Journal: Vol. 19 No. 2 (2017): CUBO, A Mathematical Journal
- Fatih Nuray, Richard F. Patterson, Submatrices of four dimensional summability matrices , CUBO, A Mathematical Journal: Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal
- Carl Chiarella, Ferenc Szidarovszky, Dynamic Oligopolies and Intertemporal Demand Interaction , CUBO, A Mathematical Journal: Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal
- Takahiro Sudo, The Flip Crossed Products of the ð¶*-Algebras by Almost Commuting Isometries , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- John A.D. Appleby, James P. Gleeson, Alexandra Rodkina, Asymptotic Constancy and Stability in Nonautonomous Stochastic Differential Equations , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
You may also start an advanced similarity search for this article.











