Efficient wavefunction propagation by minimizing accumulated action
Computational Physics
2015-05-19 v3 Mathematical Physics
math.MP
Atomic Physics
Quantum Physics
Abstract
This paper presents a new technique to calculate the evolution of a quantum wavefunction in a chosen spatial basis by minimizing the accumulated action. Introduction of a finite temporal basis reduces the problem to a set of linear equations, while an appropriate choice of temporal basis set offers improved convergence relative to methods based on matrix exponentiation for a class of physically relevant problems.
Cite
@article{arxiv.1007.3381,
title = {Efficient wavefunction propagation by minimizing accumulated action},
author = {Zachary B. Walters},
journal= {arXiv preprint arXiv:1007.3381},
year = {2015}
}