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

See pdf file: http://www.2shared.com/file/3469465/52e02653/q3_online.html

Its the third problem i'm having trouble with. I'm pretty sure I have the two first questions correct.

2. Relevant equations

1)[tex]H^{'}_{\uparrow\downarrow,\downarrow\uparrow}=<\left|\uparrow\downarrow\right\rangle\left|H^'\right|\left|\downarrow\uparrow\right\rangle[/tex]

3. The attempt at a solution

My idea was to compute the quantity given by 1), but im not sure how to manage [tex]H^{'} =-\beta S^{(1)}.S^{(2)}=-\beta(S_x ^{(1)}S_x ^{(2)},S_y ^{(1)}S_y ^{(2)},S_z ^{(1)}S_z ^{(2)}) [/tex]

Should I try and find [tex]S_y ^{(1)}[/tex], [tex]S_y ^{(2)}[/tex] and the same for the z-spinor matrices. Or is there a smarter way of doing this?

Looking forward to all the help i can get.

Best regards, Oistein

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# Homework Help: 2 spin 1/2 particles in magnetic field

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