Diskretnaya Matematika, Tome 4 (1992) no. 2, pp. 115-121
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V. A. Yudin. Minimum potential energy of a point system of charges. Diskretnaya Matematika, Tome 4 (1992) no. 2, pp. 115-121. http://geodesic.mathdoc.fr/item/DM_1992_4_2_a12/
@article{DM_1992_4_2_a12,
author = {V. A. Yudin},
title = {Minimum potential energy of a point system of charges},
journal = {Diskretnaya Matematika},
pages = {115--121},
year = {1992},
volume = {4},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_1992_4_2_a12/}
}
TY - JOUR
AU - V. A. Yudin
TI - Minimum potential energy of a point system of charges
JO - Diskretnaya Matematika
PY - 1992
SP - 115
EP - 121
VL - 4
IS - 2
UR - http://geodesic.mathdoc.fr/item/DM_1992_4_2_a12/
LA - ru
ID - DM_1992_4_2_a12
ER -
%0 Journal Article
%A V. A. Yudin
%T Minimum potential energy of a point system of charges
%J Diskretnaya Matematika
%D 1992
%P 115-121
%V 4
%N 2
%U http://geodesic.mathdoc.fr/item/DM_1992_4_2_a12/
%G ru
%F DM_1992_4_2_a12
For certain values of $N$ we find the distribution of $N$ identical charges on the unit sphere of an $n$-dimensional Euclidean space that minimizes the potential energy $w_n(N)$. For $n\geqslant3$, we find the principal term of the asymptotics of $w_n(N)$ as $N\to\infty$.
