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補足説明をここに書く予定です
【SEOテキスト】宇田雄一04.7.18,∇R=R/R=x-x'/|x-x'|∴∫d3xd3x'ρ1(x,t)∂n/∂tnρ1(x',t)∇(R/c)n-1=0(n=0,1)∴∞∑n=0(-1)n/n!c∫d3xd3x'ρ1(x,t)∂n/∂tnρ1(x',t)∇(R/c)n-1=∞∑n=0(-1)n+2/(n+2)!c∫d3xd3x'ρ1(x,t)∂n+2/∂tn+2ρ1(x',t)∇(R/c)n+1=∞∑n=0(-1)n/n!cn+2∫d3xρ1(x,t)∂n+1/∂tn+1∫d3x'∂ρ1(x',t)/∂t(n+1)Rn/(n+2)(n+1)∇R,[∫d3x'∂ρ1(x',t)/∂tRn/n+2∇R=-∫d3x'∇'・j1(x',t)Rn-1/n+2R=1/n+2∫d3x'j1(x',t)・∇'(Rn-1R)=-1/n+2∫d3x'{[j1(x',t)・∇Rn-1]R+Rn-1[j1(x',t)・∇]R}=-1/n+2∫d3x'{(n-1)Rn-3[j1(x',t)・R]R+Rn-1j1(x',t)},∫d3xρ1(x,t)[E'1(x,t)+μ0z1(t)×H'1(x,t)]=-1/4πε0∞∑n=0(-1)n/n!cn+2∫d3xρ1(x,t)∂n+1/∂tn+1∫d3x'{n+1/n+2Rn-1j1(x',t)-n-1/n+2Rn-3[j1(x',t)・R]R}