Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
documentation:standard_operators:coulomb_repulsion [2017/02/27 14:59]
Maurits W. Haverkort
documentation:standard_operators:coulomb_repulsion [2017/05/23 16:43] (current)
Maurits W. Haverkort
Line 44: Line 44:
 The radial part of the operator ($\frac{\mathrm{Min}[r_i,​r_j]^k}{\mathrm{Max}[r_i,​r_j]^{k+1}}$) is more difficult and will be cast into parameters: The radial part of the operator ($\frac{\mathrm{Min}[r_i,​r_j]^k}{\mathrm{Max}[r_i,​r_j]^{k+1}}$) is more difficult and will be cast into parameters:
 \begin{equation} \begin{equation}
-R^{(k)}[\tau_1\tau_2\tau_3\tau_4]=e^2\int_0^{\infty}\int_0^{\infty}\frac{\mathrm{Min}[r_i,​r_j]^k}{\mathrm{Max}[r_i,​r_j]^{k+1}}R_1[r_i]R_2[r_j]R_3[r_i]R_4[r_j]\mathrm{d}r_i\mathrm{d}r_j.+R^{(k)}[\tau_1\tau_2\tau_3\tau_4]=e^2\int_0^{\infty}\int_0^{\infty}\frac{\mathrm{Min}[r_i,​r_j]^k}{\mathrm{Max}[r_i,​r_j]^{k+1}}R_1[r_i]R_2[r_j]R_3[r_i]R_4[r_j]r_i^2 r_j^2\mathrm{d}r_i\mathrm{d}r_j.
 \end{equation} \end{equation}
  
Print/export