- #1
boudreaux
- 9
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- Homework Statement
- There are two spin-1 particles $$S_1,S_2$$
- Relevant Equations
- $$S_1^2 = S_2^2 = 1(1+1)\hbar^2 = 2\hbar^2$$
there's a strong magnetic field in the Z direction so
$$H_0 = -B*(S_1 +S_2)$$ (all z components here)
I need to fin the eigen-energies and eigenstates of this hamiltonian. Then add a small perturbation
$$H_1 = -J S_1 S_2$$ (still z components) and find the energy levels again.
I know the basis I should use is |m_1,m_2> and that each m can be 1,0,-1 but how do I get the eigenvalues from this?