text: This operation appears nested within itself n times in the n-th term on the right side of the Baker-Campbell-Hausdorff formula.
full_question: This operation appears nested within itself n times in the n-th term on the right side of the Baker-Campbell-Hausdorff formula. The Wigner-Weyl transform of this operation into phase space gives an operation named for José Moyal. A term containing a time derivative and a term containing this operation are found in the Lax equation. The expectation value of this operation is squared on the right hand side of the Robertson inequality. A Lie algebra can be defined from any associative algebra by using this operation as the Lie bracket. Computing the expectation value of this operation applied to momentum and the Hamiltonian is done when deriving Newton's second law from quantum mechanics. This operation applied to position and momentum canonically yields i times h-bar according to the uncertainty principle. This operation is analogous to a Poisson bracket on a Hilbert space. For 10 points, name this operation which for A and B is given by AB minus BA.
first_sentence: This operation appears nested within itself n times in the n-th term on the right side of the Baker-Campbell-Hausdorff formula.
raw_answer: commutator