For operators A and B, we saw that suppose merely that the commutator C commutes with both A and B, though it may not be zero. Prove that You will need to examine the power series expansions for each...

For operators A and B, we saw that

suppose merely that the commutator C commutes with both A and B, though it may not be zero. Prove that You will need to examine the power series expansions for each side. Equation 5.68 is sometimes called the Baker–Campbell–Hausdorff identity (although this name is also applied to a more general expression of which this is a special case).