- #1

Fallen Seraph

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## Homework Statement

Three electrons are confined to move on a ring of radius R. Find the equilibrium positions of the electrons in terms of the angles between them.

## Homework Equations

Some hints with differentials are given to us, as is the potential between two of the electrons , but as far as I can tell these are completely redundant.

## The Attempt at a Solution

Well my problem is this: we've been given this question in a second year comp lab and the answer is so glaringly obvious to me that I can only come to the conclusion that I'm misunderstanding something. I don't get how one could possibly need a computer to get this.

As I see it, the three electrons being identical particles implies that the final state must be symmetric under interchanging the particles. And on a ring the only way to do this is to have them all separated by 120 degrees.

Surely it can't be that simple? What am I missing?