An advance in the arithmetic of the Lie groups as an alternative to the forms of the Campbell-Baker-Hausdorff-Dynkin theorem

Sunghyun Kim, Zhichen Liu, Richard A. Klemm

The exponential of an operator or matrix is widely used in quantum theory, but it sometimes can be a challenge to evaluate. For non-commutative operators $\mathbf{X}$ and $\mathbf{Y}$, a…