물리:bbgky_계층

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물리:bbgky_계층 [2022/04/19 13:38] – [BBGKY 계층] jiwon물리:bbgky_계층 [2022/04/21 16:47] – [푸아송 괄호 계산] jiwon
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  \int \prod_{i=s+1}^N d^3p_id^3q_i\{\rho,H_{N-s}\} &= \int \prod_{i=s+1}^N d^3p_id^3q_i\sum_{j=1}^N\left[\frac{\partial\rho}{\partial\vec q_j}\cdot\frac{\partial H_{N-s}}{\partial\vec p_j}-\frac{\partial\rho}{\partial\vec p_j}\cdot\frac{\partial H_{N-s}}{\partial\vec q_j}\right]  \int \prod_{i=s+1}^N d^3p_id^3q_i\{\rho,H_{N-s}\} &= \int \prod_{i=s+1}^N d^3p_id^3q_i\sum_{j=1}^N\left[\frac{\partial\rho}{\partial\vec q_j}\cdot\frac{\partial H_{N-s}}{\partial\vec p_j}-\frac{\partial\rho}{\partial\vec p_j}\cdot\frac{\partial H_{N-s}}{\partial\vec q_j}\right]
 \end{align*} \end{align*}
-이고, $s+1\le j\le N$인 $j$에 대해+이고, 각각의 $j$항을 따로 계산할 수 있다.
 \begin{align*} \begin{align*}
  \frac{\partial H_{N-s}}{\partial\vec p_j} &= \frac{\vec p_j}{m}\\  \frac{\partial H_{N-s}}{\partial\vec p_j} &= \frac{\vec p_j}{m}\\
  • 물리/bbgky_계층.txt
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