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Equation ( 11.39 ) shows that the electron has a g factor of 2. ... We will show in
Section 11.10 that in a coordinate system moving with the electron the magnetic
induction is B ' - B XE ( 11.41 ) с where we have neglected terms of the order ...
From ( 11.21 ) it is easy to show that the invariant “ length " element is ds ? ... dt2 (
11.61 ) In terms of the particle velocity v ( t ) this can be written do = dt J1 v2 c2 (
11.62 ) Equation ( 11.62 ) shows the time - dilatation effect already discussed .
3 X3 With definitions ( 11.68 ) and ( 11.70 ) it is elementary to show that ( 11.75 )
yields exactly the Lorentz transformation ( 11.19 ) . The formal representation of
transformation ( 11.75 ) as a rotation of axes in the x3 , x4 plane ( with X4 drawn ...
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Introduction to Electrostatics
References and suggested reading
Multipoles Electrostatics of Macroscopic Media
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