Zassenhaus formula:

$$ e^{t(X+Y)}=e^{t X} e^{t Y} e^{-\frac{t^{2}}{2}[X, Y]} e^{\frac{t^{3}}{6}(2[Y,[X, Y]]+[X,[X, Y]])} e^{\left.\frac{-t^{4}}{24}([[[X, Y], X], X]+3[[X, Y], X], Y]+3[[[X, Y], Y], Y]\right)} \ldots $$

Related: Baker-Campbell-Hausdorff formula and flow of the sum of two vector fields.

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Author of the notes: Antonio J. Pan-Collantes

antonio.pan@uca.es


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