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Commit 99adfbb4 authored by Adrian Gutierrez Gonzalez's avatar Adrian Gutierrez Gonzalez
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Update 5_atoms_and_lcao_solutions.md

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From this we find From this we find
$$ $$
\beta = -\frac{E_\pm- E_0 + \gamma}{t}\alpha = -\frac{\pm\sqrt{t^2+\gamma^2}+\gamma}{t}\alpha \beta = -\frac{E_\pm- E_0 + \gamma}{t}\alpha = -\frac{\pm\sqrt{t^2+ \gamma^2} + \gamma }{t}\alpha
$$ $$
Then, using the normalization condition $\alpha^2+\beta^2$=1, we find the normalized eigenfunction. Then, using the normalization condition $\alpha^2+\beta^2$=1, we find the normalized eigenfunction.
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