On Separation of Minimal Riesz Energy Points on Spheres in Euclidean Spaces
A. B. J. Kuijlaars, E. B. Saff, X. Sun
Abstract
For the unit sphere Sd in Euclidean space R(d+1), we show that for d-1<s<d and 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.
Create a lesson
Related papers
Finite temperature Fredholm determinants for dynamical correlation functions
Oleksandr Gamayun
Inverse eigenvalue problem for discrete three-diagonal Schroedinger operator and the continuum limit in Tikhonov regularization approach
Vladimir M. Chabanov
Haagerup-Izumi modular data from hyperbolic words: S-fold TQFTs, central charge, torsion and the Bethe vacua
David E Evans
Spectral Theory of an Exactly Solvable Quantum-Optical Oscillator
Sam Johar, Joseph Kraisler
Dynamical BEC formation and vanishing entropy for trapped bosons in non-relativistic QED via nonlinear resonance cascades
Thomas Chen, Ali Mezher
Dynamics of low energy wave packets in the one-dimensional quantum Heisenberg ferromagnet
Mateusz Kwaśnicki, Marcin Napiórkowski, Sören Petrat et al.