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    • 9.1: Interacting Electrons in Atomic Shells
      https://phys.libretexts.org/Bookshelves/Quantum_Mechanics/Advanced_Quantum_Mechanics_(Kok)/09%3A_New_Page/9.1%3A_Interacting_Electrons_in_Atomic_Shells
      E_{\alpha} u_{\alpha}\left(\mathbf{r}_{i}\right)=\hat{h}_{i} u_{\alpha}\left(\mathbf{r}_{i}\right)+\sum_{\beta}\left\langle u_{\beta}\left(\mathbf{r}_{j}\right)\left|r_{i j}^{-1}\right| u_{\beta}\left...E_{\alpha} u_{\alpha}\left(\mathbf{r}_{i}\right)=\hat{h}_{i} u_{\alpha}\left(\mathbf{r}_{i}\right)+\sum_{\beta}\left\langle u_{\beta}\left(\mathbf{r}_{j}\right)\left|r_{i j}^{-1}\right| u_{\beta}\left(\mathbf{r}_{j}\right)\right\rangle u_{\alpha}\left(\mathbf{r}_{i}\right) \\

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