Discover the Spin of an Electron Using Angular Momentum Operator and Eigenvalues

[rubertoda]

I should Use
the fact that in general the eigenvalues of the square of the angular momentum
operator is J(J + 1)h and show the spin of the electron.

I have J= L+S and J² = L²+ S²

Homework Statement

But how could i find the spin of the electron

 

[dextercioby]

Not really, J^2 = L^2 + S^2 +2 L.S. And post the whole text of your problem.

 

[rubertoda]

Not really, J^2 = L^2 + S^2 +2 L.S. And post the whole text of your problem.

Yes, i was sloppy. I meant that. But, I am asked to show the spin of the electron, by knowing that the eigenvalue of J² is usually J(J+1)hbar...what do they mean?

sthg like solving for S in J^2 = L^2 + S^2 +2 L.S?

 

[rubertoda]

Yes, i was sloppy. I meant that. But, I am asked to show the spin of the electron, by knowing that the eigenvalue of J² is usually J(J+1)hbar²...what do they mean?

sthg like solving for S in J^2 = L^2 + S^2 +2 L.S?

So how to do this

 

[dextercioby]

Can you, please, post the text of your problem, exactly as it appears in your book ?

 

[rubertoda]

Calculate the square of the total spin operator and find all its eigenvalues. Use
the fact that in general the eigenvalues of the square of the angular momentum
operator is J(J + 1)¯h
2
to find the spin of the electron.



the firts one i have fixed..