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
- Colette Anné, Anne-Marie Charbonnel, Bohr-Sommerfeld conditions for several commuting Hamiltonians , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
- Takahiro Sudo, A covering dimension for ð¶*-algebras , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
- Bernard Helffer, Xing-Bin Pan, On Some Spectral Problems and Asymptotic Limits Occuring in the Analysis of Liquid Crystals , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): 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
- Takahiro Sudo, Continuous or Discontinuous Deformations of C*-Algebras , CUBO, A Mathematical Journal: Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal
You may also start an advanced similarity search for this article.
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
Section
Articles
