2. Show that the Maxwell equations (in Minkowski space) +-0, H - 0 B0EJ.0E = 4p....

Transcribed Image Text:

2. Show that the Maxwell equations (in Minkowski space) +-0, H - 0 B₁0E₁J₁.0E = 4p. are invariant under the following set of transformations: PR. REO(3) E(1) B.(r) E()=R₁,E, (2) B(2)=det RRB,(z) p(z) → A(z)=P(z), J.(1) J(7) = R₁,Jj(r). (3) That is, E is a polar vector and B is an axial vector. Recall that an O(3) matrix satisfies RR= 1 2. Show that the Maxwell equations (in Minkowski space) +-0, H - 0 B₁0E₁J₁.0E = 4p. are invariant under the following set of transformations: PR. REO(3) E(1) B.(r) E()=R₁,E, (2) B(2)=det RRB,(z) p(z) → A(z)=P(z), J.(1) J(7) = R₁,Jj(r). (3) That is, E is a polar vector and B is an axial vector. Recall that an O(3) matrix satisfies RR= 1