diff --git a/chap7/chap7.pdf b/chap7/chap7.pdf index dbd344d..d2d2c96 100644 Binary files a/chap7/chap7.pdf and b/chap7/chap7.pdf differ diff --git a/chap7/chap7.tex b/chap7/chap7.tex index f1b8acb..f00cbbd 100644 --- a/chap7/chap7.tex +++ b/chap7/chap7.tex @@ -628,11 +628,14 @@ \subsection{Application of the Formalism to \ce{H_2} and \ce{HeH^+}} &= \dfrac{ \Braket{12|22}^2}{\varepsilon_1 - \varepsilon_2} \end{align} \subex{c.} - - - - - +\begin{align} +\Sigma_{22}^{(2)}(\varepsilon_2) = \dfrac{\Braket{12|22}^2}{\varepsilon_1 - \varepsilon_2} + \dfrac{K_{12}^2}{2(\varepsilon_2 - \varepsilon_1)} +\end{align} +$ \therefore $ +\begin{align} +\varepsilon_2' &= \varepsilon_2 + \Sigma_{22}^{(2)}(\varepsilon_2) \notag\\ +&= {^{N+1}}\tilde{E}_R^{(2)} - {{^N}E}_0^{(2)} +\end{align} \subsection{Perturbation Theory and the Green's Function Method} \ex{7.13}