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 documentation:language_reference:functions:potentialexpandedonclm [2018/01/11 08:23]Maurits W. Haverkort documentation:language_reference:functions:potentialexpandedonclm [2018/01/11 08:37] (current)Maurits W. Haverkort Both sides previous revision Previous revision 2018/01/11 08:37 Maurits W. Haverkort 2018/01/11 08:23 Maurits W. Haverkort 2018/01/10 23:20 Maurits W. Haverkort 2016/10/10 09:41 external edit2016/10/06 21:46 Maurits W. Haverkort created 2018/01/11 08:37 Maurits W. Haverkort 2018/01/11 08:23 Maurits W. Haverkort 2018/01/10 23:20 Maurits W. Haverkort 2016/10/10 09:41 external edit2016/10/06 21:46 Maurits W. Haverkort created Line 17: Line 17: ===== Output ===== ===== Output ===== - * Akm : Table containing {{k, m, Coefficient}, {k, m, Coefficient}, ...} + * Akm : Table containing ​"$\{\{k_1,m_1,A_{k_1,​m_1}\},\{k_2,m_2,A_{k_2,​m_2}\},...\}$" defining the angular part of the potential such that $\big\langle \varphi_{\tau_1}(\vec{r}) \big| V(\vec{r}) \big| \varphi_{\tau_2}(\vec{r}) \big\rangle = \sum_{k=0}^{\infty}\sum_{m=-k}^{k} ​ A_{k,m} \big\langle Y_{l_1,m_1} \big| C_{k,m} \big| Y_{l_2,m_2} \big\rangle$,​ with $\varphi_{\tau_1}(\vec{r})=R_{n_1,​l_1}(r) Y_{l_1,m_1}(\theta\phi)$ ===== Example ===== ===== Example =====