@article{Marushko_2018, title={Theorem of Differentiation of the Energy of a Multiatomic System with Respect to Atomic Coordinates (Part I)}, volume={59}, url={https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018500}, DOI={10.15407/ujpe59.07.0719}, abstractNote={<p>The theorem asserting that the arbitrary-order derivative of the average energy of a solid with respect to atomic coordinates equals the average value of the corresponding derivative of the potential energy operator with respect to atomic coordinates has been proved. This theorem is a generalization of the well-known Gell-Mann–Feynman theorem, which was proved only for the first derivative of the average energy with respect to atomic coordinates. A necessity in<br>such a generalization is associated with the calculation of force constants in solids, which are the derivatives of the average energy with respect to atomic coordinates, and, maybe, other physical quantities.</p>}, number={7}, journal={Ukrainian Journal of Physics}, author={Marushko, I. O.}, year={2018}, month={Oct.}, pages={719} }