Thread: fourier transform/commutation relation

Hello all,

I have been trying to show that:



I have done the following so far:



Now if we put we get:



How do I continue so that I end up with what I intented to show?

Thanks a million

Originally Posted by surjective

I have been trying to show that:



How do I continue so that I end up with what I intented to show?

What exactly did you intend to show? Rewrite as an integral, and compare with what you got.

Hey,

I wanted to show (intended) that:




The right side is what I want to arrive at, i.e. I would like to continue from where I left off and arrive at the right-hand-side instead of "going backwards". I seem to be stuck !!?????

Originally Posted by surjective

Hey,

I wanted to show (intended) that:




The right side is what I want to arrive at

I know that; all I wanted you to notice is that you have arrived to the right side. It is just written in a different way. Just like you wrote the left side as an integral, you can do the same for the right side. You'll end up exactly with what your change of variable lead you to. Just one additional "hint" (not that you did it): , and take .