diff --git a/doc/command-options.md b/doc/command-options.md index b4957714..33565035 100644 --- a/doc/command-options.md +++ b/doc/command-options.md @@ -626,9 +626,9 @@ $$ \bigl|\Phi_{-\lambda\lambda'\lambda''}\bigl|^2 \left\{(n_{\lambda'}+ n_{\lambda''}+1) \delta(\omega-\omega_{\lambda'}-\omega_{\lambda''}) \right. - * (n_{\lambda'}-n_{\lambda''}) + + (n_{\lambda'}-n_{\lambda''}) \left[\delta(\omega+\omega_{\lambda'}-\omega_{\lambda''}) -* \left. \delta(\omega-\omega_{\lambda'}+\omega_{\lambda''}) +- \left. \delta(\omega-\omega_{\lambda'}+\omega_{\lambda''}) \right]\right\}. $$ @@ -858,7 +858,7 @@ $$ \bigl|\Phi_{-\lambda\lambda_1\lambda_2}\bigl|^2 (n_{\lambda_1}-n_{\lambda_2}) \left[\delta(\omega+\omega_{\lambda_1}-\omega_{\lambda_2}) - * \delta(\omega-\omega_{\lambda_1}+\omega_{\lambda_2}) + - \delta(\omega-\omega_{\lambda_1}+\omega_{\lambda_2}) \right] \end{align*} $$ @@ -872,7 +872,7 @@ $$ \bigl|\Phi_{-\lambda\lambda_1\lambda_2}\bigl|^2 (n_{\lambda_1}+ n_{\lambda_2}+1) \left[ \delta(\omega-\omega_{\lambda_1}-\omega_{\lambda_2}) - * \delta(\omega + \omega_{\lambda_1} + \omega_{\lambda_2}) \right] + - \delta(\omega + \omega_{\lambda_1} + \omega_{\lambda_2}) \right] \end{align*}, $$ @@ -940,11 +940,11 @@ $$ \bigl|\Phi_{-\lambda\lambda_1\lambda_2}\bigl|^2 & \left\{(n_{\lambda_1}+ n_{\lambda_2}+1) \left[ \delta(\omega-\omega_{\lambda_1}-\omega_{\lambda_2}) - * \delta(\omega+\omega_{\lambda_1}+\omega_{\lambda_2}) \right] \right. + - \delta(\omega+\omega_{\lambda_1}+\omega_{\lambda_2}) \right] \right. \\ & + (n_{\lambda_1}-n_{\lambda_2}) \left[\delta(\omega+\omega_{\lambda_1}-\omega_{\lambda_2}) - * \left. \delta(\omega-\omega_{\lambda_1}+\omega_{\lambda_2}) + - \left. \delta(\omega-\omega_{\lambda_1}+\omega_{\lambda_2}) \right]\right\}, \end{align*} $$ @@ -959,14 +959,14 @@ $$ \left\{ \left[ \frac{(n_{\lambda_1}+ n_{\lambda_2}+1)}{ (\omega-\omega_{\lambda_1}-\omega_{\lambda_2})_\mathrm{p}} - * \frac{(n_{\lambda_1}+ n_{\lambda_2}+1)}{ + - \frac{(n_{\lambda_1}+ n_{\lambda_2}+1)}{ (\omega+\omega_{\lambda_1}+\omega_{\lambda_2})_\mathrm{p}} \right] \right. \\ & + \left[ \frac{(n_{\lambda_1}-n_{\lambda_2})}{(\omega + \omega_{\lambda_1} - \omega_{\lambda_2})_\mathrm{p}} - * \left. \frac{(n_{\lambda_1}-n_{\lambda_2})}{(\omega - + - \left. \frac{(n_{\lambda_1}-n_{\lambda_2})}{(\omega - \omega_{\lambda_1} + \omega_{\lambda_2})_\mathrm{p}} \right]\right\}, \end{align*} @@ -1030,7 +1030,7 @@ A_\lambda(\omega) = \frac{1}{\pi} \frac{4\Omega^2_\lambda \Gamma_\lambda(\omega)} {\left[\omega^2 - \Omega^2_\lambda - 2\Omega_\lambda \Delta_\lambda(\omega) \right]^2 - * \left[ 2\Omega_\lambda + - \left[ 2\Omega_\lambda \Gamma_\lambda(\omega) \right]^2}, $$