- #1
kakarukeys
- 190
- 0
A trivial problem, but I am stuck.
Prove that
[tex]e^{i\pi S_y}|S\ 0\rangle = (-1)^S |S\ 0\rangle[/tex]
I proved the S = 1 case, by expanding [tex]|S\ 0\rangle[/tex] in the basis of [tex]S_y[/tex]'s eigenvectors. How to do for general case?
Prove that
[tex]e^{i\pi S_y}|S\ 0\rangle = (-1)^S |S\ 0\rangle[/tex]
I proved the S = 1 case, by expanding [tex]|S\ 0\rangle[/tex] in the basis of [tex]S_y[/tex]'s eigenvectors. How to do for general case?