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arXiv · 2212.01290

A simple and efficient algorithm for computing the Baker-Campbell-Hausdorff series

Harald Hofstätter
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Abstract

A new algorithm for computing coefficients of the Baker--Campbell--Hausdorff series is presented, which can be straightforwardly implemented in any general-purpose programming language or computer algebra system. The algorithm avoids rational arithmetic and performs all its calculations in pure integer arithmetic, allowing for a very efficient implementation. An implementation in the Julia programming language is available.

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Harald Hofstätter. 2022-12-02. A simple and efficient algorithm for computing the Baker-Campbell-Hausdorff series. https://arxiv.org/abs/2212.01290

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