(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider two identical particles of mass m and spin 1/2. They interact via a potential given by

[tex]V=\frac{g}{r}\hat{\sigma}_1\cdot\hat{\sigma}_2[/tex]

where g>0 and [tex]\hat{sigma}_j[/tex] are Pauli spin matrices which operate on the spin of particle j.

a) Construct the spin eigenfunctions for the two particle states. What is the expectation value of V for each of these states?

b) Give eigenvalues of all the bound states

2. Relevant equations

3. The attempt at a solution

I'm really not sure where to start. I'm used to the Hamiltonian taking the form

[tex]H=\frac{\hat{p}^2}{2m}+V[/tex]

but I don't see how I can apply that at all. Is this easier than I'm making it?

I thought I was relatively good at Q.M... hints?

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# Homework Help: [PhD Qualifier] Spin eigenfunctions

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