The 1st excitad state in 1st order correction

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Homework Statement


find the 1st order correction for the 1st excited state with spin when the
H'=(eB0/2mc).Lz+2Sz z the direction
this proplem for the charge particleon sphere of radius R with magnatic field B


Homework Equations



l=1 m=0,1,-1
3. ]The attempt at a solution[/b
work out for the matrix 2x3 for

<Y10lH'lY10> SAME WITH SPIN DOWEN (-)
<Y11lH'lY11> ,,,,,,,,,
<Y1-1lH'lY1-1> ,,,,,,,,,,

And then find the digonal matrix solve it then find E01
 
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can i know why nobody answer me.