Теорема про диференцiювання енергiї багатоатомної системи по координатах атомiв (частина I)

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...

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Збережено в:
Бібліографічні деталі
Дата:2018
Автор: Marushko, I. O.
Формат: Стаття
Мова:English
Ukrainian
Опубліковано: Publishing house "Academperiodika" 2018
Теми:
Онлайн доступ:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018500
Теги: Додати тег
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Назва журналу:Ukrainian Journal of Physics

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Ukrainian Journal of Physics
Опис
Резюме: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 insuch 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.