Dynamics of tke Electron. 83 



and 



(x-^)+iv 1 [(x~x')iv l +{y-ij f )iV2 + {z-z')io 3 +{l-l , )iv^ 

 =A 11 (f-f')+A 2 i(^-V)-F-A 31 (r-r)+A 41 (v-v') 



— iiVi(v — v') 



=A„(f-r)+A 21 (^-r/)+A 8l (?-r), 



for A 41 = zw 1 . 

 Then 



+ A il 'JiHi , ffl + 2A, 1 A J«-^- , ^ + ... 



Now Ave have, since the integration extends over the space 

 internally bounded by the sphere 



and from symmetry, 



Now we have i'« ^ 4^ 



.-. j'^yft =-£[A 1I 2 + A 21 2 +A 31 2 ] = -g(l + t( ,/) ) 

 I «,a 2 ^n = — *|^ [ A n A 21 + A 12 A 22 + A 1S A 23 ] 



4:7T 4:7T 



and e 2 r 4tt 4tt "l 2e 2 



Ay - " Sr b WlW2 '~eT + Za- WlW *J = Ta W ^' 

 G2 



