1. Derive the Lorentz transformation for the "3-vectors" É and B from the normal orentz transtormation for the ran (Helps to get it set up like a normal matrix multiplication.) Give the t...
1. Derive the Lorentz transformation for the "3-vectors" É and B from the normal orentz transtormation for the ran (Helps to get it set up like a normal matrix multiplication.) Give the transforma tion for the components of the 3-vectors parallel to the boost and perpendicular to the boost. Hint: Do the calculation of F' by multiplying the matrices. Then look at compo- nents of the fields parallel and perpendicular to the boost direction. k 2 held tensor r.μν-αμα avprop-αμα ropa,..
1. Derive the Lorentz transformation for the "3-vectors" É and B from the normal orentz transtormation for the ran (Helps to get it set up like a normal matrix multiplication.) Give the transforma tion for the components of the 3-vectors parallel to the boost and perpendicular to the boost. Hint: Do the calculation of F' by multiplying the matrices. Then look at compo- nents of the fields parallel and perpendicular to the boost direction. k 2 held tensor r.μν-αμα avprop-αμα ropa,..