# Electron inside a conducting shell

Suppose I keep a single electron inside a hollow metallic/conducting shell,what will the charge distribution on the surfaces of the shell?

Now in principle from Maxwell's equations,it simply should be charge of magnitude $e$ spread over the surface which is impossible due to quantization.So in the real world,what will be the distribution?

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I think that question is subtly different: It asks about the classical dynamics problem where there is a continuum of equally low-energy ground states (the fact that these are electrons on a conductor is irrelevant), whereas here we have the problem of quantization seeming to conflict with how symmetry demands a spread-out charge. –  Chris White Aug 23 at 17:50
Exactly,my question is how nature comes up with a symmetric spread-out charge while still keeping quantization intact. –  Sandesh Kalantre Aug 24 at 12:22