The number of distinct local energy minima in the Thomson problem grows exponentially with charge number, with a faster growth rate than previously reported, and stationary states can be counted by minimizing a squared-force potential.
”On the sum of distances determined by a pointset.” Acta Mathematica Hungarica 7.3-4 (1956): 397-401
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Exploring the energy landscape of the Thomson problem: local minima and stationary states
The number of distinct local energy minima in the Thomson problem grows exponentially with charge number, with a faster growth rate than previously reported, and stationary states can be counted by minimizing a squared-force potential.