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  1. Quantum Chemistry

    Linked via "Local Density Approximation (LDA)"

    | Rung | Functional Type | Description | Example Approximation |
    | :--- | :--- | :--- | :--- |
    | 1 | Local Density Approximation (LDA) | Depends only on the local density $\rho(\mathbf{r})$. | SVWN |
    | 2 | Generalized Gradient Approximation (GGA) | Depends on $\rho(\mathbf{r})$ and its gradient $\nabla\rho(\mathbf{r})$. | BLYP, PBE |
    | 3 | Meta-GGA | Depends on $\rho$, $\nabla\rho$, and the kinetic energy density $\tau(\mathbf{r})$. | TPSS |