Expectation value of X and Y component of angular momentumby xinoki Tags: angular, component, expectation, momentum 

#1
Dec510, 12:03 PM

P: 6

1. The problem statement, all variables and given/known data
Show: <Jx>=<Jy>=0 2. Relevant equations Jx=1/2(J++J) Jy=1/2(J+J) 3. The attempt at a solution <jm l Jx l jm> = < jm l 1/2 J+ l jm> + < jm l j l jm > = < jm l h/2 sqrt [(jm)(j+m+1)] + h/2sqrt[(j+m)(j+m+1) l jm > i am not sure how to apply the next step 



#2
Dec510, 01:59 PM

P: 2,078

Note that j,m> is NOT an eigenstate of either J+ or J. In fact, J+j,m>=kj,m+1>, etc.
Additionally note that [tex]<j,mj,n>=\delta_{m,n}[/tex] 


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