Interaction energy of point electric multipoles

V.P. Kazantsev^a, O.A. Zolotov^†^a, O.P. Zolotova^b, V.E. Zalizniak^a
^aSiberian Federal University, pr. Svobodnyi 79, Krasnoyarsk, 660041, Russian Federation
^bM. F. Reshetnev Siberian State University of Science and Technologies, Krasnoyarsky Rabochy Av. 31, Krasnoyarsk, 660014, Russian Federation

Based on various representations of the potential of point basis sources of an electrostatic field, we report the solution to the problem of their interaction energy. The obtained results can be used to approximate the electric field by point multipole fields using the variational principle.

Keywords: point multipole, interaction energy, variational principle
PACS: 03.50.De, 04.20.Fy, 41.20.Cv (all)
DOI: 10.3367/UFNe.2024.12.039830
URL: https://ufn.ru/en/articles/2025/8/g/
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2025PhyU...68..843K
Citation: Kazantsev V P, Zolotov O A, Zolotova O P, Zalizniak V E "Interaction energy of point electric multipoles" Phys. Usp. 68 843–849 (2025)

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Received: 5th, July 2024, revised: 11th, December 2024, accepted: 29th, December 2024

Оригинал: Казанцев В П, Золотов О А, Золотова О П, Зализняк В Е «Точечные электрические мультиполи и энергии их взаимодействия» УФН 195 897–904 (2025); DOI: 10.3367/UFNr.2024.12.039830