- #1
JohanL
- 158
- 0
[tex]H=\frac{p^2}{2m'}+V_0(r)+V(r)
[/tex]
where
[tex]V(r)=2[3\frac{(S \cdot r)^2}{r^2}-S^2]
[/tex]
and V_0(r) is a rotationally invariant potential, p=p1-p2, the relative momentum and m' the reduced mass. S=S1+S2 spin operator.
Assume first that V(r) is zero; what is the degeneracy of the ground state assuming that each of the dipoles are spin 1/2. After turning on V(r) how is the degeneracy split; what are the "quantum numbers" i.e. eigenvalues J and S of those new states.
________________________
Any hints on how to start on a problem like this?
[/tex]
where
[tex]V(r)=2[3\frac{(S \cdot r)^2}{r^2}-S^2]
[/tex]
and V_0(r) is a rotationally invariant potential, p=p1-p2, the relative momentum and m' the reduced mass. S=S1+S2 spin operator.
Assume first that V(r) is zero; what is the degeneracy of the ground state assuming that each of the dipoles are spin 1/2. After turning on V(r) how is the degeneracy split; what are the "quantum numbers" i.e. eigenvalues J and S of those new states.
________________________
Any hints on how to start on a problem like this?