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z@?Ubk6BKgY-{0@uV{jm4NszVq399lmQ$=XbA+mECpm-o05IZPa?Ca867Ce`QTaBr2 zkf**rlBL;CbD-QJfne{&+l}%7G=7nRKTTPQ1*_ifqoqViFxXB&3cMyMjI8BYp=_VB zvJ@sA%H)4r)PiE)d~*t(rtG~rC|$8hK(bQTDQYEqS`Yf?oFZA+RC@i_-y+T0IwQ#s zNvUZ45!3&$KA0`~fRtO+E~B+gxL?J>1@q2NUQ_xVr^eb3uNsM znYQ$~eT>bk49AwzA_aRue_U8xDsk6A#tqJ<0KYNvNuB^<)|Xp6^b`hRj!BT&w)^gI zjzbPMN6$GHZd=w_?)zGA3#D)6{aYy^1?&q%8Jb5b6&nha;0GHQEE$=ooEYr?0c8uA AnE(I) diff --git a/chap7/chap7.tex b/chap7/chap7.tex index f1b8acb..f00cbbd 100644 --- a/chap7/chap7.tex +++ b/chap7/chap7.tex @@ -628,11 +628,14 @@ \subsection{Application of the Formalism to \ce{H_2} and \ce{HeH^+}} &= \dfrac{ \Braket{12|22}^2}{\varepsilon_1 - \varepsilon_2} \end{align} \subex{c.} - - - - - +\begin{align} +\Sigma_{22}^{(2)}(\varepsilon_2) = \dfrac{\Braket{12|22}^2}{\varepsilon_1 - \varepsilon_2} + \dfrac{K_{12}^2}{2(\varepsilon_2 - \varepsilon_1)} +\end{align} +$ \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}