vectors corrent de camps de variables separades

d_{t}[ E(x,y,z) ] + rot[ E(x,y,z) ] = J(x,y,z)
d_{t}[ B(x,y,z) ] + rot[ B(x,y,z) ] = H(x,y,z)

J(x,y,z) = ...

... kq·( d_{t}[f(x_{k})]+(x_{k})·( f(y_{i})+(-1)·f(z_{j}) ) ).

H(x,y,z) = ...

... (-1)·kq·( d_{t}[f( d_{t}[x_{k}]·t )]+(x_{k})·( f( d_{t}[y_{i}]·t )+(-1)·f( d_{t}[z_{j}]·t ) ) ).

∯ [ J(x,y,z) ] d[(yz,zx,xy)] = ...
... n·kq·∑ ( (1/(ct)^{n})·( x_{k} )^{(n+(-1))}·d_{t}[x_{k}] + ...
... (-1)·(c/(ct)^{(n+1)})·( x_{k} )^{n} )·(y_{i}z_{j})

∯ [ H(x,y,z) ] d[(yz,zx,xy)] = ...
... (-1)·n·kq·∑ ( (1/(ct)^{n})·( d_{t}[x_{k}]·t )^{(n+(-1))}·( d_{tt}^{2}[x_{k}]·t+d_{t}[x_{k}] ) +...
... (-1)·(c/(ct)^{(n+1)})·( d_{t}[x_{k}]·t )^{n} )·(y_{i}z_{j})

div[ J(x,y,z) ] = kq·∑ d_{tt}^{2}[ f(x_{k}) ]·( 1/d_{t}[x_{k}] )

div[ H(x,y,z) ] = (-1)·kq·∑ d_{tt}^{2}[ f( d_{t}[x_{k}]·t ) ]·( 1/d_{t}[x_{k}] )

m·d_{tt}^{2}[x_{k}] = p( J(x,y,z)+H(x,y,z) )

x_{k} = V_{k}·t