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If we let x ' → 0 , only the m = 0 term survives , and we obtain the integral representation : 1 2 cos kz Kolkp ) dk ( 3.150 ) p2 + 2 za If we replace p in ( 3.150 ) by R2 = pa + ...
NI O ' it is a straightforward , although tedious , matter to obtain the result : ma ) ? ? – ma ( El + mo ) ( m , E , + 2 , – ? mg m ? 2 ( E2 + m2 ) ? – pe cosa 0 , Eg ( 12.53 ) Only the values of ( 12.53 ) greater than my have physical ...
Then we obtain e " diw ) dΩ In x v2 v ( ** ) ai ( 14.127 ) 03 с The integral is a Dirac delta function . Then di ( 0 ) exe'p2 sin 0 18 ( 1 – ( " ß cos 0 ) 2 ( 14.128 ) dΩ where 0 is measured relative to the velocity v .
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Introduction to Electrostatics
References and suggested reading
Multipoles Electrostatics of Macroscopic Media
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