- #1
paweld
- 255
- 0
It's obvious that if Maxwell equations are fulfilled by some [tex] E(x,y,z,t)[/tex]
and [tex] B(x,y,z,t)[/tex], they are also fullfiled by [tex] E(x,y,z,t)+ E_0[/tex]
and [tex] B(x,y,z,t)+B_0[/tex], where [tex] E_0[/tex] and [tex] B_0[/tex]
are constants. This freedom has physical significance as it changes the Lorentz force
which act on a charge. It implies that together with Maxwell equation we should
give some boundary condition. But unfortunately I can't find any book where they are
explicitly given (Dirichlet and Neumann boundary condition are most often introduced for
equation for potential not field).
and [tex] B(x,y,z,t)[/tex], they are also fullfiled by [tex] E(x,y,z,t)+ E_0[/tex]
and [tex] B(x,y,z,t)+B_0[/tex], where [tex] E_0[/tex] and [tex] B_0[/tex]
are constants. This freedom has physical significance as it changes the Lorentz force
which act on a charge. It implies that together with Maxwell equation we should
give some boundary condition. But unfortunately I can't find any book where they are
explicitly given (Dirichlet and Neumann boundary condition are most often introduced for
equation for potential not field).