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Saxonphone
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Homework Statement
Say we are adding angular momentum: J = J1+J2.
Now, how can i prove that J2 |j1,j2,m1,m2>[tex]\neq[/tex] [tex]\lambda[/tex] |j1j,2,m1,m2>
a.k.a. |j1j2,m1,m2> is not a eigenket of J2?
Homework Equations
J12|j1,j2,m1,m2>=j1|j1j,2,m1,m2>
J22|j1,j2,m1,m2>=j2|j1j,2,m1,m2>
J1z|j1,j2,m1,m2> = m1|j1,j2,m1,m2>
J2z|j1,j2,m1,m2> = m2|j1,j2,m1,m2>
J1=J1x+J1y+J1z
J2=J2x+J2y+J2z
Jx=J1x+J2x
Jy=J1y+J2y
Jz=J1z+J2z