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Tangent87
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Hi, I'm doing this question at the top of page 77 here (http://www.maths.cam.ac.uk/undergrad/pastpapers/2008/Part_2/list_II.pdf ). I am stuck on the last part where we have to verify perturbation theory with the exact result. Which means I think we need to find the eigenvalues of the simultaneous eigenstates for [tex]H=-\gamma(B_{1}J_1+B_{3}J_3)[/tex]. I know that |j m> is the eigenstate for [tex]J_3[/tex] but this isn't an eigenstate of [tex]J_1[/tex] so what do we do?
I have found in my notes that the simultaneous eigenstates of [tex]J_1[/tex] are given by a unitary operator but I'm sure there must be an easier way as I find it unlikely this is how the question wants us to do it.
I have found in my notes that the simultaneous eigenstates of [tex]J_1[/tex] are given by a unitary operator but I'm sure there must be an easier way as I find it unlikely this is how the question wants us to do it.
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