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Unformatted text preview: at velocity to zero, because otherwise the number and fow velocity wouldnt be Fnite. The third integral then is or each vector component I 3 j = Z d 3 v v j ~ F f ~v = 3 X i Z d 3 v v j F i f v i =3 X i Z d 3 v f v j F i v i Because or all undamental interactions F i v i = 0 , we have v i ( v j F i ) = ij F j I 3 j = Z d 3 v f F j = ~ F j Pulling all three integrals together we Fnd or each component t ( V j ) + 3 X i x i ( ij + V i V j ) F i = 0 Using the continuity equation t + ~ ~ V , = 0 this reduces to the desired V j t + V i V j x i ! + x i ij F j = 0...
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 Fall '08
 RABE
 Physics, Work

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