commutator, commutation, functions, operators, partial derivative
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
Original Publication Citation
Transtrum, Mark K. and Jean."Commutation relations for functions of operators." Journal of Mathematical Physics 46 (25).
BYU ScholarsArchive Citation
Transtrum, Mark K. and Van Huele, Jean-Francois S., "Commutation relations for functions of operators" (2005). All Faculty Publications. 372.
Physical and Mathematical Sciences
Physics and Astronomy
© 2005 American Institue of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Mathematical Physics and may be found at http://link.aip.org/link/?JMAPAQ/46/063510/1
Copyright Use Information