Formula_11173

\[\left.\begin{array}{l}\Psi_{1 / 2}(\boldsymbol{r})=\sum_{n}\left(\gamma_{n, 1 / 2} u_{n}(\boldsymbol{r})-\gamma_{n,-1 / 2}^{+} v_{n}^{*}(\boldsymbol{r})\right), \\\Psi_{-1 / 2}(\boldsymbol{r})=\sum_{n}\left(\gamma_{n,-1 / 2} u_{n}(\boldsymbol{r})+\gamma_{n, 1 / 2}^{+} v_{n}^{*}(\boldsymbol{r})\right)\end{array}\right\}\]