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Perturbation theory refers to methods for understanding physical systems by treating them as small modifications to exactly solvable systems.

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Is the quadratic stark effect on the ground state of hydrogen not $E_{100}^{(2)}=-\frac{9}{4...

In calculating the quadratic Stark effect on the ground state of hydrogen, we find that given unperturbed hamiltonian $$H^0=\frac{p^2}{2m}-\frac{Zq_e^2}{r}$$ with pertubation $$H^1=q_e\mathcal{E}z$$ t …
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Is the quadratic stark effect on the ground state of hydrogen not $E_{100}^{(2)}=-\frac{9}{4...

I cross posted this question to MSE, where it got an answer (from myself). I realized the issue was that we were ignoring scattering states when calculating the second order perturbation, so we fall s …
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