Efficient methods for time-dependence in semiclassical Schr\"odinger equations
Numerical Analysis
2016-02-12 v1
Abstract
We build an efficient and unitary (hence stable) method for the solution of the semi-classical Schr\"odinger equation subject with explicitly time-dependent potentials. The method is based on a combination of the Zassenhaus decomposition (Bader, Iserles, Kropielnicka & Singh 2014) with the Magnus expansion of the time-dependent Hamiltonian. We conclude with numerical experiments.
Cite
@article{arxiv.1602.03581,
title = {Efficient methods for time-dependence in semiclassical Schr\"odinger equations},
author = {Philipp Bader and Arieh Iserles and Karolina Kropielnicka and Pranav Singh},
journal= {arXiv preprint arXiv:1602.03581},
year = {2016}
}
Comments
20 pages, as submitted to journal