Adiabatic and non-adiabatic evolution of wave packets and applications to initial value representations
Analysis of PDEs
2020-11-04 v1
Abstract
We review some recent results obtained for the time evolution of wave packets for systems of equations of pseudo-differential type, including Schr{\"o}dinger ones, and discuss their application to the approximation of the associated unitary propagator. We start with scalar equations, propagation of coherent states, and applications to the Herman-Kluk approximation. Then we discuss the extension of these results to systems with eigenvalues of constant multiplicity or with smooth crossings.
Cite
@article{arxiv.2011.01618,
title = {Adiabatic and non-adiabatic evolution of wave packets and applications to initial value representations},
author = {Clotilde Kammerer and Caroline Lasser and Didier Robert},
journal= {arXiv preprint arXiv:2011.01618},
year = {2020}
}