Differences

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

Link to this comparison view

Both sides previous revisionPrevious revision
Next revision		Previous revision
documentation:standard_operators:crystal_field [2024/10/03 18:07] – Maurits W. Haverkortdocumentation:standard_operators:crystal_field [2025/11/20 02:45] (current) – external edit 127.0.0.1
Line 33: Line 33:
 A_{k,m}        &= \frac{1}{\sqrt{(k-m)!}}\frac{1}{\sqrt{(k+m)!}} \\  A_{k,m}        &= \frac{1}{\sqrt{(k-m)!}}\frac{1}{\sqrt{(k+m)!}} \\ 
 \nonumber &\times \big\langle R_{n_1,l_1}(r) \big| \\ \nonumber &\times \big\langle R_{n_1,l_1}(r) \big| \\
-\nonumber &\quad \partial_z^{l-|m|}(-\rm{Sign}[m]\partial_x+\imath\partial_y)^{|m|}V(r,\theta,\phi)\big|_{r=0} \\+\nonumber &\quad \partial_z^{k-|m|}(-\rm{Sign}[m]\partial_x+\imath\partial_y)^{|m|}V(r,\theta,\phi)\big|_{r=0} \\
 \nonumber & \quad\quad\quad \big| R_{n_2,l_2}(r) \big\rangle. \nonumber & \quad\quad\quad \big| R_{n_2,l_2}(r) \big\rangle.
 \end{align} \end{align}

You are here: Quanty - a quantum many body script language » Documentation » Standard Operators » Crystal field operator

Print/export