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utksi committed Jan 16, 2025
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2 changes: 1 addition & 1 deletion _posts/2024-12-12-wannier_elf.md
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Expand Up @@ -114,7 +114,7 @@ $$
-2A \sum_i \psi_i^*(\mathbf{r}) \nabla^2 \psi_i(\mathbf{r}) = 2A \sum_i |\nabla \psi_i(\mathbf{r})|^2 - 2A \sum_i \nabla \cdot \left( \psi_i^*(\mathbf{r}) \nabla \psi_i(\mathbf{r}) \right)
$$

Recognizing that the term $$2A \sum_i |\nabla \psi_i(\mathbf{r})|^2$$ is twice the total kinetic energy density:
Recognizing that the term $$2A \sum_i |\nabla \psi_i(\mathbf{r})|^2$$ is twice the total kinetic energy density,

$$
2 t(\mathbf{r}) = 2A \sum_i |\nabla \psi_i(\mathbf{r})|^2
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