Baker–Campbell–Hausdorff formula
= Baker–Campbell–Hausdorff formula
{wiki=Baker–Campbell–Hausdorff_formula}
The Baker–Campbell–Hausdorff (BCH) formula is a fundamental result in the theory of Lie algebras and group theory. It provides a way to combine two elements \\(X\\) and \\(Y\\) of a Lie algebra (or, more broadly, in the context of Lie groups) into a single exponential of a sum of those elements when certain conditions are met.