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solving a commutator

Posted Jul 25, 2009, 10:47 a.m. EDT 0 Replies

Jim Hodge
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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:-
???????????????? The full form will not print in this format - a problem when you need to use the standard form of equations in the Greek alphabet!

Where the State Vector, in its simplest form is:

Psi = expi { k x - ? t }
And
[-{? ???t dx} + {???t? dx}].
0 Replies Last Post Jul 25, 2009, 10:47 a.m. EDT
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