Formula_1214

\[\begin{gathered}\Psi_{\sigma}(x) \psi_{\sigma^{\prime}}\left(x^{\prime}\right)+\psi_{\sigma^{\prime}}\left(x^{\prime}\right) \psi_{\sigma}(x)=0, \\\psi_{\sigma}(x) \psi_{\sigma^{\prime}}^{+}\left(x^{\prime}\right)+\psi_{\sigma^{\prime}}^{+}\left(x^{\prime}\right) \psi_{\sigma}(x)=\delta_{\sigma \sigma^{\prime}} \delta\left(x-x^{\prime}\right) .\end{gathered}\]