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

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

2 Dec 2022arXiv:2212.01290links table onlyarchive 2025-07-28

Harald Hofstätter

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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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