I've just come across the spin states of a two electron system. There are 4 states possible and I am a little confused as to why the state below has values of s=1 m_s=0?
[1/√2]{α(1)β(2)+α(2)β(1)}
where α(i) and β(i) tell us if the particle has +ve or -ve z component of spin respectively.
I...
That's exactly it, thank you :). I didn't realize that you could separate the operators out. It's part of the derivation for finding the energy changes in perturbation theory.
Yeh that's part of the proof but that's not what I don't understand. Why do the operations flip the sign of the eigenvalues. I'd have thought <una|VA-AV|unb>=(ana-anb)<una|V|unb>
I'm going through a derivation and it shows: (dirac notation)
<una|VA-AV|unb>=(anb-ana)<una|V|unb>
V and A are operators that are hermition and commute with each other and ana and anb are the eigenvalues of the operator A. I imagine it is trivial and possibly doesn't even matter but why does...