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( 3.33 ) on the surface of the sphere : VO ) = Į A , a'P , ( cos 6 ) ( 3.34 ) 1 = 0 This is just a Legendre series of the form ( 3.23 ) , so that the coefficients A , are : 21 + 1 A , = ( 3.35 ) 2a ' 2 ( VO ) P , cos O ) sin 0 de If ...
The Lorentz transformation ( 11.21 ) can be written in the general form : Xy ' = 2 92v r u = 1 , 2 , 3 , 4 ( 11.70 ) where the coefficients am , are constants characteristic of the particular transformation .
The coefficients Aim in ( 16.35 ) are not completely arbitrary . The divergence condition V.B = 0 must be satisfied . Since the radial functions are linearly independent , the condition V.B = 0 must hold for the two sets of terms in ...
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Introduction to Electrostatics
References and suggested reading
Multipoles Electrostatics of Macroscopic Media
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