Self-consistent Hartree-Fock approach to Phase Transitions

Hartree-Fock approach to Phase Transitions

Hartree-Fock in second quantized form

Failed to parse (unknown function "\dag"): {\displaystyle \nu = \frac{1}{2} \sum_{\sigma \sigma^{\prime}} \int d^{3}r d^{3}r^{\prime} v(\vec{r}-\vec{r^{\prime}}) \psi_{\sigma}^{\dag}(\vec{r}) \psi_{\sigma^{\prime}}^{\dag}(\vec{r^{\prime}}) \psi_{\sigma^{\prime}}(\vec{r^{\prime}}) \psi_{\sigma}(\vec{r}) }