- #1
baouba
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Homework Statement
Here is the problem: http://imgur.com/XEqE4SY
Homework Equations
|psi_s_ms> = |s, ms> ⊗ Σ D_i_j |psi_i, psi_j>[/B]
The Attempt at a Solution
I know the singlet state in the |s, ms> basis is |0,0> = (1/sqrt(2))[ |up, down> - |down, up>] and that the hamiltonian for this system is H = (-hbar/2m)(∇1^2 + ∇2^2).
How would you go about getting a value of energy. I feel like this is an easy question, I just don't know how to start. Is <0,0|H|0,0> the right approach? How would I even calculate that without an explicit expression for the state?
My other approach is recognizing that [S, H] = 0 so spin eigenstates are simultaneous energy eigenstates. I don't know if this helps me?
Can someone point me in the right direction?
Thank you[/B]