Update document

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Atsushi Togo 2018-11-18 20:51:08 +09:00
parent 1fae711bd7
commit be5471b9ba
1 changed files with 6 additions and 5 deletions

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@ -871,12 +871,13 @@ values given as follows, respectively,
.. math::
&D_2^{(1)}(\mathbf{q}, \omega) = \frac{1}{N}
\sum_{\lambda_1,\lambda_2}
\left[\delta(\omega+\omega_{\lambda_1}-\omega_{\lambda_2}) +
\delta(\omega-\omega_{\lambda_1}+\omega_{\lambda_2}) \right], \\
\sum_{\lambda',\lambda''} \Delta(-\mathbf{q}+\mathbf{q}'+\mathbf{q}'')
\left[\delta(\omega+\omega_{\lambda'}-\omega_{\lambda''}) +
\delta(\omega-\omega_{\lambda'}+\omega_{\lambda''}) \right], \\
&D_2^{(2)}(\mathbf{q}, \omega) = \frac{1}{N}
\sum_{\lambda_1,\lambda_2}\delta(\omega-\omega_{\lambda_1}
-\omega_{\lambda_2}).
\sum_{\lambda',\lambda''}
\Delta(-\mathbf{q}+\mathbf{q}'+\mathbf{q}'') \delta(\omega-\omega_{\lambda'}
-\omega_{\lambda''}).
::