Commutation relations for functions of operators
Abstract
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 wellknown 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.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 June 2005
 DOI:
 10.1063/1.1924703
 Bibcode:
 2005JMP....46f3510T
 Keywords:

 03.65.Db;
 02.30.Tb;
 02.30.Sa;
 Functional analytical methods;
 Operator theory;
 Functional analysis