Formula_12930

\[\begin{gathered}j(f, f)=\int_{\mathbb{R}^{3} \times \Sigma}\left[f(t, \vec{p}, \vec{q}) f\left(t, \overrightarrow{p_{1}^{\prime}}, \vec{q}\right)-f(t, \vec{p}, \vec{q}) f\left(t, \overrightarrow{p_{1}}, \vec{q}\right)\right] \times \\\times B\left(\left|\vec{p}-\overrightarrow{p_{1}}\right|,\left|\vec{p}-\overrightarrow{p_{1}}\right|^{-1}\left(\left(\vec{p}-\overrightarrow{p_{1}}\right) \circ \vec{n}\right)\right) d \overrightarrow{p_{1}} d \vec{n}, \\\Sigma=\left\{\vec{n} \in \mathbb{R}^{3}|| \vec{n} \mid=1\right\}, \\\overrightarrow{p^{\prime}}=\vec{p}-\vec{n}\left(\left(\vec{p}-\overrightarrow{p_{1}}\right) \circ \vec{n}\right), \quad \overrightarrow{p_{1}^{\prime}}=\overrightarrow{p_{1}}+\vec{n}\left(\left(\vec{p}-\overrightarrow{p_{1}}\right) \circ \vec{n}\right) .\end{gathered}\]