I have a question about how my book derives a formula. It starts with:(adsbygoogle = window.adsbygoogle || []).push({});

We have an electron free too move on a cylinder and from the cylinder there is an electric field pointing radially outwards.

Now for an electron moving in an electric field it sees local magnetic field given by:

B = 1/c^2 v x E (1)

And from spin pertubation theory we now get the following pertubation of the Hamiltonian:

H' = -μ [itex]\bullet[/itex] B = C L[itex]\bullet[/itex]S

I don't understand the last equality. I know μ(the magnetic moment) is proportional to the spin but how do we get L from (1)? - and how does it even make sense to use "v" the velocity in classical electrodynamics in a quantum mechanical system?

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# Spin orbit coupling

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