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Merge branch 'develop' into publish-gh-pages
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atztogo committed Sep 28, 2024
2 parents 5a476ff + d8490c8 commit 5f3ede4
Showing 1 changed file with 9 additions and 9 deletions.
18 changes: 9 additions & 9 deletions doc/command-options.md
Original file line number Diff line number Diff line change
Expand Up @@ -626,9 +626,9 @@ $$
\bigl|\Phi_{-\lambda\lambda'\lambda''}\bigl|^2
\left\{(n_{\lambda'}+ n_{\lambda''}+1)
\delta(\omega-\omega_{\lambda'}-\omega_{\lambda''}) \right.
* (n_{\lambda'}-n_{\lambda''})
+ (n_{\lambda'}-n_{\lambda''})
\left[\delta(\omega+\omega_{\lambda'}-\omega_{\lambda''})
* \left. \delta(\omega-\omega_{\lambda'}+\omega_{\lambda''})
- \left. \delta(\omega-\omega_{\lambda'}+\omega_{\lambda''})
\right]\right\}.
$$

Expand Down Expand Up @@ -858,7 +858,7 @@ $$
\bigl|\Phi_{-\lambda\lambda_1\lambda_2}\bigl|^2
(n_{\lambda_1}-n_{\lambda_2})
\left[\delta(\omega+\omega_{\lambda_1}-\omega_{\lambda_2})
* \delta(\omega-\omega_{\lambda_1}+\omega_{\lambda_2})
- \delta(\omega-\omega_{\lambda_1}+\omega_{\lambda_2})
\right]
\end{align*}
$$
Expand All @@ -872,7 +872,7 @@ $$
\bigl|\Phi_{-\lambda\lambda_1\lambda_2}\bigl|^2
(n_{\lambda_1}+ n_{\lambda_2}+1)
\left[ \delta(\omega-\omega_{\lambda_1}-\omega_{\lambda_2})
* \delta(\omega + \omega_{\lambda_1} + \omega_{\lambda_2}) \right]
- \delta(\omega + \omega_{\lambda_1} + \omega_{\lambda_2}) \right]
\end{align*},
$$

Expand Down Expand Up @@ -940,11 +940,11 @@ $$
\bigl|\Phi_{-\lambda\lambda_1\lambda_2}\bigl|^2 &
\left\{(n_{\lambda_1}+ n_{\lambda_2}+1)
\left[ \delta(\omega-\omega_{\lambda_1}-\omega_{\lambda_2})
* \delta(\omega+\omega_{\lambda_1}+\omega_{\lambda_2}) \right] \right.
- \delta(\omega+\omega_{\lambda_1}+\omega_{\lambda_2}) \right] \right.
\\
& + (n_{\lambda_1}-n_{\lambda_2})
\left[\delta(\omega+\omega_{\lambda_1}-\omega_{\lambda_2})
* \left. \delta(\omega-\omega_{\lambda_1}+\omega_{\lambda_2})
- \left. \delta(\omega-\omega_{\lambda_1}+\omega_{\lambda_2})
\right]\right\},
\end{align*}
$$
Expand All @@ -959,14 +959,14 @@ $$
\left\{
\left[ \frac{(n_{\lambda_1}+ n_{\lambda_2}+1)}{
(\omega-\omega_{\lambda_1}-\omega_{\lambda_2})_\mathrm{p}}
* \frac{(n_{\lambda_1}+ n_{\lambda_2}+1)}{
- \frac{(n_{\lambda_1}+ n_{\lambda_2}+1)}{
(\omega+\omega_{\lambda_1}+\omega_{\lambda_2})_\mathrm{p}}
\right]
\right. \\
& + \left[
\frac{(n_{\lambda_1}-n_{\lambda_2})}{(\omega +
\omega_{\lambda_1} - \omega_{\lambda_2})_\mathrm{p}}
* \left. \frac{(n_{\lambda_1}-n_{\lambda_2})}{(\omega -
- \left. \frac{(n_{\lambda_1}-n_{\lambda_2})}{(\omega -
\omega_{\lambda_1} + \omega_{\lambda_2})_\mathrm{p}}
\right]\right\},
\end{align*}
Expand Down Expand Up @@ -1030,7 +1030,7 @@ A_\lambda(\omega) = \frac{1}{\pi} \frac{4\Omega^2_\lambda
\Gamma_\lambda(\omega)}
{\left[\omega^2 - \Omega^2_\lambda -
2\Omega_\lambda \Delta_\lambda(\omega) \right]^2
* \left[ 2\Omega_\lambda
- \left[ 2\Omega_\lambda
\Gamma_\lambda(\omega) \right]^2},
$$

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