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Use the first order perturbation theory to compute the correction to the $l=1$ level of $$ H = L^2 + \alpha L_x + \beta L_y $$ taking $$ H_0=L^2, \qquad \mbox{and} \qquad H^\prime = \alpha L_x + \beta L_y. $$ Find the corrections to the $l=1$ level using first order perturbation theory.
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4727:Diamond Point
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