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Minimum Energy Configurations of Classical Charges: Large N Asymptotics

Minimum Energy Configurations of Classical Charges: Large N Asymptotics

We study the minimum energy configurations of N particles in of charge āˆ’1 (ā€œelectronsā€) in the potential of M particles of charges ZĪ± > 0 (ā€œatomic nucleiā€). In a suitable large-N limit, we determine the asymptotic electron distribution explicitly, showing in particular that the number of electrons surrounding each nucleus ā€¦