- #1
Albereo
- 16
- 0
Consider a quantum system with angular momentum 1, in a state represented by the vector
I'm reviewing my quantum mechanics; I had a pretty horrible course on it during undergrad. I feel like this should be fairly simple, but I'm just not sure how to start. I think I can say that the state above is an eigenfunction of L[itex]^{2}[/itex] with eigenvalue h[itex]^{2}[/itex]l(l+1), and similarly for L[itex]_{z}[/itex] with eigenvalue hm, but is this on the right track? How do I proceed from there?
[itex]\Psi=\frac{1}{\sqrt{26}}[1, 4, -3][/itex]
Find the expectation values <L[itex]_{z}[/itex]> and <L[itex]_{x}[/itex]>I'm reviewing my quantum mechanics; I had a pretty horrible course on it during undergrad. I feel like this should be fairly simple, but I'm just not sure how to start. I think I can say that the state above is an eigenfunction of L[itex]^{2}[/itex] with eigenvalue h[itex]^{2}[/itex]l(l+1), and similarly for L[itex]_{z}[/itex] with eigenvalue hm, but is this on the right track? How do I proceed from there?