WAVEDER: Difference between revisions

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The file {{FILE|WAVEDER}} contains the derivative of the orbitals with respect to '''k''', more precisely the matrix  
The file {{FILE|WAVEDER}} contains the derivative of the orbitals with respect to '''k''', more precisely the matrix  


<math> \langle \phi_{n'k} | \frac{\partial \phi_{nk}}{\partial k_i} \rangle  =  \frac{1}{\epsilon_{nk} -\epsilon_{n'k}}  \langle \phi_{n'k} |  \frac{\partial (\mathbf{ H} - \epsilon_{nk} \mathbf{S})}{\partial k_i} |  \phi_{nk} \rangle. </math>
<math> \langle \phi_{n'k} |{\bf S} | \frac{\partial \phi_{nk}}{\partial k_i}\rangle  =  \frac{1}{\epsilon_{nk} -\epsilon_{n'k}}  \langle \phi_{n'k} |  \frac{\partial (\mathbf{ H} - \epsilon_{nk} \mathbf{S})}{\partial k_i} |  \phi_{nk} \rangle. </math>





Revision as of 14:06, 29 May 2018

The file WAVEDER contains the derivative of the orbitals with respect to k, more precisely the matrix


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