The commutator plays a central roll in quantum mechanics. I guess it is hard to study any aspect of quantum mechanics without running into a commutator. I understand you can accept the fact that commutators of compatible measurables equal zero, while those of incompatible measurements equal something like -ih. and after accepting these relationships you can derive a lot of other properties of your system. I have seen explanations of the commutators in quantum mechanics as the quantum-mechanical version of the poisson brackets. But this explanation is not intuitive enough for me. ( I think better in terms of pictures rather than symbols on paper). I have also read the approach by Sakuray, which almost led me to understand the issue but not quite. I'll appreciate any insights on this topic.