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## Main Question or Discussion Point

The usual answer to this question is that if the commutator between two observables A and B is zero, then there are states that have a definite value for each observable. If [A,B] isn't zero, then this isn't true.

Now, in general [A,B] = iC, where C is Hermitian. I'd like to know if there's an intuitive interpretation of the operator C. Evidently it's some sort of 'measure' of how much A and B don't commute, but is there a more concrete interpretation?

Now, in general [A,B] = iC, where C is Hermitian. I'd like to know if there's an intuitive interpretation of the operator C. Evidently it's some sort of 'measure' of how much A and B don't commute, but is there a more concrete interpretation?