Question

The magnetic moment vectors µ_s and µ, associated with the intrinsic spin angular momentum S and orbital angular momentum L, respectively, of an electron are predicted by quantum theory (and verified experimentally to a high accuracy) to be given by:
µ_s = -(e/m)S,
µ₁ = -(e/2m)L,
Which of these relations is in accordance with the result expected classically? Outline the derivation of the classical result.

Answer 1

The relation \(\vec{\mu_1}=(-e/2m)\vec L\)
is in accordance with the classical physics. It can be derived classical as below:
An electron revolving in an orbit of radius r is associated with magnetic moment.