Mathematical proof of the spherical electron?

AI Thread Summary
Electrons are not mathematically proven to be spherical, as they are considered point particles with no size. The electrical field around a classical electron resembles that of a spherically symmetrical charge distribution, but this does not imply a physical shape. Discussions about the shape of electrons are rooted in classical physics, which is not applicable to quantum mechanics. Any claims suggesting otherwise are likely misunderstandings or inaccuracies. The topic concludes with the understanding that electrons are fundamentally point-like in nature.
Quandemonitum
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Why is/are an electron/electrons a sphere/spheres ? Need the mathematical proof...
 
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Quandemonitum said:
Why is/are an electron/electrons a sphere/spheres ? Need the mathematical proof...

You won't find a mathematical proof that electrons are spherical because they aren't. What we do know is that the electrical field around a classical electron is, to the limits of the accuracy of the measurements we've made so far, the same as that produced by a spherically symmetrical charge distribution.

If you're thinking in terms of shape and size, you're thinking in purely classical terms, and the best classical description of an electron is that it it is a point particle of size zero. If you've read something that suggests otherwise, either it's wrong or you've misunderstood it.

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Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

So here is the motional EMF formula. Now I understand the standard Faraday paradox that an axis symmetric field source (like a speaker motor ring magnet) has a magnetic field that is frame invariant under rotation around axis of symmetry. The field is static whether you rotate the magnet or not. So far so good. What puzzles me is this , there is a term average magnetic flux or "azimuthal mean" , this term describes the average magnetic field through the area swept by the rotating Faraday...
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