lorentz generators in matlab

main.m
% Set up the generators
Jx = [0 0 0; 0 0 -1; 0 1 0]; 
Jy = [0 0 1; 0 0 0; -1 0 0]; 
Jz = [0 -1 0; 1 0 0; 0 0 0]; 
Kx = [0 0 0; 0 0 1; 0 1 0]; 
Ky = [0 0 -1; 0 0 0; 1 0 0]; 
Kz = [0 1 0; -1 0 0; 0 0 0];

% Set up the velocity vector
v = [0.6; 0.8; 0];

% Calculate the gamma factor
gamma = 1/sqrt(1 - sum(v.^2));

% Calculate the Lorentz boost
L = [gamma 0 0 -gamma*v(1); 0 gamma 0 -gamma*v(2); 0 0 1 0; -gamma*v(1) -gamma*v(2) 0 gamma];

% Calculate the generators in the boosted frame
Jx_boosted = L*Jx/L;
Jy_boosted = L*Jy/L;
Jz_boosted = L*Jz/L;
Kx_boosted = L*Kx/L;
Ky_boosted = L*Ky/L;
Kz_boosted = L*Kz/L;
612 chars
25 lines