3 years ago

Compact schemes for laser-matter interaction in Schr\"odinger equation.

Karolina Kropielnicka, Pranav Singh, Arieh Iserles

Numerical solutions for laser-matter interaction in Schr\"odinger equation has many applications in theoretical chemistry, quantum physics and condensed matter physics. In this paper we introduce a methodology which allows, with a small cost, to extend any fourth-order scheme for Schr\"odinger equation with time-indepedent potential to a fourth-order method for Schr\"odinger equation with laser potential. These fourth-order methods improve upon many leading schemes of order six due to their low costs and small error constants.

Publisher URL: http://arxiv.org/abs/1805.09163

DOI: arXiv:1805.09163v1

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