Discussion Forum

I have a problem to resolve and it is very difficult. The commutator below is at the heart of my difficulties. I have solved it for myself and I am very happy with the result, but there are other methods to those I used and I would like to see if another person faced with this can find an alternative result. Would someone be very kind and find a solution so that I can look at all of the possible outcomes of the calculation. I have found two methods for myself and the results have been the same – the value is certainly not 0 and it is quite lengthy.

The commutator is:-
????????????????
Where the State Vector, in its simplest form is:
???? expi { k x - w t }
And
???????????? [-{? ?/?t dx} + {?/?t? dx}].
This has not come out as well as it might, but it is a lot better than the first few times I tried to post the problem.
The problem revolves around what I am able to know at a single event and that has consequences. Get back to me if you can resolve the beastie.
Thanking you in advance
Jim