Hartree–Fock method: Difference between revisions

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: <math>\begin{aligned}
J(\mathbf{x_k}) &= \int \mathrm{d}\mathbf{x}_j \frac{\rho(\mathbf{x}_j)}{|\mathbf{r}_k}-\mathbf{r}_j}|},\\
K(\mathbf{x_k})\phi(x_k) &= \sum_{j=1}^N \int \text{d}\mathbf{x}_j\, \phi_j^*(\mathbf{x}_j) \frac{1}{|\mathbf{r}_k-\mathbf{r}_j|}\phi_k(\mathbf{x}_j)\phi_j(\mathbf{x}_k).\\
\end{aligned}</math>