Physical Sciences and Mathematics Commons^™

Commutation Relations For Functions Of Operators, Mark K. Transtrum, Jean-Francois S. Van Huele

Faculty Publications

We derive an expression for the commutator of functions of operators with constant commutations relations in terms of the partial derivatives of these functions. This result extends the well-known commutation relation between one operator and a function of another operator. We discuss the range of applicability of the formula with examples in quantum mechanics