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Homework Statement
An ion has effective spin ħ. The spin interacts with a surrounding lattice so that: Hspin = A S2 z.
I first had to write H as a matrix. Then i had to find the energy eigenvalues.
Homework Equations
The Attempt at a Solution
I figured j=1 and mj = 1,0,-1
S2 z = ħ2(1 0 0; 0 0 0; 0 0 1)
H=Aħ2(1 0 0; 0 0 0; 0 0 1)
I think this is right so far but do not know how to progress further. Any help would be appreciated.