Operator B has a commutator [A,B]

[Christine90NY]

I'm working on a question where the operator B has a commutator [A,B] which is not equal to AB-BA, and instead has a squared term in it. Maybe I just don't understand commutators but what does this mean/how do I use the commutator (to find eigenvectors of A)?

 

[skynelson]

Well, you have the right understanding as far as I can tell. Can you post the example in question? You haven't been too specific with your question.