On Separation of Minimal Riesz Energy Points on Spheres in Euclidean Spaces

Details On Separation of Minimal Riesz Energy Points on Spheres in Euclidean Spaces On Separation of Minimal Riesz Energy Points on Spheres in Euclidean Spaces

2005-03-27

arxiv.org/abs/math-ph/0503063v1

Physics

Mathematical Physics

12 pages, submitted to Irsee Conference Proceedings

Scientific paper

For the unit sphere S^d in Euclidean space R^(d+1), we show that for d-1and any N>1, discrete N-point minimal Riesz s-energy configurations are well
separated in the sense that the minimal distance between any pair of distinct
points in such a configuration is bounded below by C/N^(1/d), where C is a
positive constant depending on s and d.

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