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| Both sides previous revision Previous revision Next revision | Previous revision Next revisionBoth sides next revision | ||
| 물리:bbgky_계층 [2022/04/19 13:37] – [푸아송 괄호 계산] jiwon | 물리:bbgky_계층 [2022/04/21 16:47] – [푸아송 괄호 계산] jiwon | ||
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| $$H' = \sum_{n=1}^s\sum_{i=s+1}^NV(\vec q_n-\vec q_j)$$ | $$H' = \sum_{n=1}^s\sum_{i=s+1}^NV(\vec q_n-\vec q_j)$$ | ||
| - | 여기에 리우빌 정리를 적용하면, | + | 여기에 |
| $$\frac{\partial\rho_s}{\partial t} = \int\prod_{i=s+1}^Nd^3p_id^3q_i\frac{\partial\rho}{\partial t} = -\int\prod_{i=s+1}^Nd^3p_id^3q_i \{\rho, | $$\frac{\partial\rho_s}{\partial t} = \int\prod_{i=s+1}^Nd^3p_id^3q_i\frac{\partial\rho}{\partial t} = -\int\prod_{i=s+1}^Nd^3p_id^3q_i \{\rho, | ||
| Line 46: | Line 46: | ||
| \int \prod_{i=s+1}^N d^3p_id^3q_i\{\rho, | \int \prod_{i=s+1}^N d^3p_id^3q_i\{\rho, | ||
| \end{align*} | \end{align*} | ||
| - | 이고, $s+1\le | + | 이고, |
| \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}\\ | ||