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1. **none:** No 2e-Jastrow is used.
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1. **none:** No 2e-Jastrow is used.
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2. **rs-dft:** 2e-Jastrow inspired by Range Separated Density Functional Theory. It has the following shape:
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2. **rs-dft:** 2e-Jastrow inspired by Range Separated Density Functional Theory. It has the following shape:
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\begin{equation}
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\[ \tau = \frac{1}{2} \sum_{i,j \neq i} u(\mathbf{r}_i, \mathbf{r}_j) \]
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\tau = \frac{1}{2} \sum_{i,j \neq i} u(\mathbf{r}_i, \mathbf{r}_j),
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with, \[ u(\mathbf{r}_1, \mathbf{r}_2) = u(r_{12}) = \frac{r_{12}}{2} \left[ 1 - \text{erf}(\mu \, r_{12}) \right] - \frac{\exp\left[- (\mu \, r_{12})^2\right]}{2 \sqrt{\pi} \mu} \]
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\end{equation}
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with,
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\begin{equation}
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u(\mathbf{r}_1, \mathbf{r}_2) = u(r_{12}) = \frac{r_{12}}{2} \left[ 1 - \text{erf}(\mu \, r_{12}) \right] - \frac{\exp\left[- (\mu \, r_{12})^2\right]}{2 \sqrt{\pi} \mu}.
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\end{equation}
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## env_type Options
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## env_type Options
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