What I wasn't understanding was the coupled representation of two angular momentum vectors using a unitary transformation with Clebsch-Gordan coefficients and the uncoupled representation.
Got it now though, and now I can see that my question didn't make sense.
That looks exactly right to me.
Yes, each of the states are orthonormal and normalized already, so that should give you the right answer.
And then to get <L->, you would do it the exact same way, just with a slightly different lambda.
That looks exactly right to me.
Yes, each of the states are orthonormal and normalized already, so that should give you the right answer.
And then to get <L->, you would do it the exact same way, just with a slightly different lambda.
Going in the right direction.
So you have the operator and the ket. Now you have to multiply with the bra.
So how do you find the bra form of your wavefunction?
Using the same book.
Follow 1618##########'s suggestion. Then try computing the overlap and recall that the wavefunctions are orthonormal, so for example <1,-1|1,1> =0.
When you do the overlap, most of the terms will disappear.
Trying to self-teach myself more quantum mechanics. Reading Zare's "Angular Momentum- Understanding Spatial Aspects in Chemistry and Physics". I don't really understand how to calculate eigenvalues of J using CG coefficients (I mean, I know the eigenvalues of J, just trying to calculate them a...
On the mentor thing, you can also do independent study with a professor for a small amount of college credit, and you get to really pick what exactly you're going to be learning. This could give you more freedom than even a minor.
How are engineers becoming less common? Pretty sure there are more engineering students at OU then any other type of student. Literally hundreds of times more engineers than physicists. There's what, maybe 12 physics majors in my class?