Formula_21833

\[\begin{gathered}\frac{\partial f}{\partial t}+v \frac{\partial f}{\partial \boldsymbol{x}}+\left(e \boldsymbol{E}+\frac{e}{c}[\boldsymbol{v} \boldsymbol{B}]\right) \frac{\partial f}{\partial \boldsymbol{p}}=0, \\\operatorname{rot} \boldsymbol{B}=\frac{1}{c} \frac{\partial \boldsymbol{E}}{\partial t}+\frac{4 \pi}{c} \int v f(\boldsymbol{x}, \boldsymbol{p}, t) d \boldsymbol{p}, \\\operatorname{rot} \boldsymbol{E}=-\frac{1}{c} \frac{\partial \boldsymbol{B}}{\partial t}, \quad \operatorname{div} \boldsymbol{B}=0, \\\operatorname{div} \boldsymbol{E}=4 \pi \int f(\boldsymbol{x}, \boldsymbol{p}, t) d \boldsymbol{p},\end{gathered}\]