I am trying to solve an applied physics problem with the expectation value of an operator associated with the problem. However, I have too many unknowns and as a step in moving forward, I needed to compute for a function associated with the problem.
I am not quite sure how to address the problem and I would really appreciate help in terms of direction. I would also appreciate information on relevant texts to consult. Kindly refer to the attachment for few explanations.
Thank you Professor Van der Zwan. I really appreciate your kind response. I have made clarifications in the attachment (A new file)!
Thank you Professor. I have just sent the other books into your inbox. Yes you are right, I have been having challenges with how to place the integration variable τ. The problem I wish to apply the solution to would be meaningless if the integral has infinite upper limit; it has to be finite. I have already obtained analytical function for the expectation value (which can be easily differentiated or integrated as the situation requires); the challenge (which concerns the evaluation of any existing commutation relations; as shown in Principles of nuclear magnetism by A. Abragam, 1961, page 23) now is how to handle the right hand side of equation (6) in order to obtain f(x) in terms of the analytical function. I am really sorry if I am not asking the right questions!
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