Normally a function depends on 2 vectors can be expanded in term of spherical harmonics as $v(|\vec{r_1}-\vec{r_2}|)=\sum_L v_L(r_1,r_2) \sum_M Y^M_L(\vec{r_1})Y^{M*}_L(\vec{r_2})$. So for a function depends on 3 vectors such as $v(|\vec{R}+\vec{r_2}-\vec{r_1}|)$, how can I expand it in terms of spherical harmonics ?
2026-02-23 06:34:09.1771828449
3 vectors function multipole expansion
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