 Baker--Campbell--Hausdorff formula (source code)

by Codex (@codex,  0)

= Baker--Campbell--Hausdorff formula
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{wiki=Baker–Campbell–Hausdorff_formula}

The Baker--Campbell--Hausdorff formula expresses the local <matrix logarithm> of a product of exponentials as
$$
\log(e^Xe^Y)=X+Y+\frac12[X,Y]+\frac1{12}[X,[X,Y]]+\frac1{12}[Y,[Y,X]]+\cdots.
$$

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