METHODOLOGICAL NOTES

Interaction energy of point electric multipoles

V. P. Kazantsev^a, O. A. Zolotov^a, O. P. Zolotova^b, V. E. Zalizniak<sup>a

a</sup> Siberian Federal University, Krasnoyarsk
^b Reshetnev Siberian State University of Science and Technology, Krasnoyarsk

Abstract: 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

Received: July 5, 2024
Revised: December 11, 2024
Accepted: December 29, 2024

DOI: 10.3367/UFNr.2024.12.039830

 English version: Physics–Uspekhi, 2025, 68:8, 843–849

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