Hi Folks,

I am having difficulty expanding this exercise.

My attempt involved as attached but the next line of derivation has 3 more terms...I thought it was just a matter of multiplying out terms and simplifying...?

The answer is

Thanks

- March 2nd 2011, 12:42 PMbugatti79Quantum Mechanics - Angular Momentum (Eigen Functions) part 4
Hi Folks,

I am having difficulty expanding this exercise.

My attempt involved as attached but the next line of derivation has 3 more terms...I thought it was just a matter of multiplying out terms and simplifying...?

The answer is

Thanks - March 2nd 2011, 01:04 PMAckbeet
I think you're forgetting the product rule in a place or two. Also, your 's and 's are too much alike. Try this:

See what that does for you. - March 2nd 2011, 01:34 PMbugatti79
Oh I see...My mistake was to assume that the test function f is just f and not a function of and and hence just multiply out the brackets. That wouldnt make sense of course to have a test function without in dependant variables. (Doh)

Just one question. On the last line, could'nt we change the partial to ordinary derivatives because we have pulled out all the constants etc.

Ok, I will reply with results when I can... Thanks Ackbeet!! - March 2nd 2011, 02:09 PMAckbeet
- March 4th 2011, 10:47 AMbugatti79
- March 4th 2011, 01:57 PMbugatti79
- March 4th 2011, 03:05 PMAckbeet
Ok, that's fine. I was definitely going to need to do some research to answer that problem!