Efficient methods for time-dependence in semiclassical Schrödinger equations

2016/02/11 by Bader, Philipp, Iserles, Arieh, Kropielnicka, Karolina +1
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1602.03581

Abstract

We build an efficient and unitary (hence stable) method for the solution of the semi-classical Schrödinger 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.

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