1. The problem statement, all variables and given/known data Consider the following Lagrangian of a particle moving in a D-dimensional space and interacting with a central potential field L = 1/2mv2 - k/r Use Noether's theorem to find conserved charges corresponding to the rotational symmetry of the Lagrangian. How many independent charges are there? Hint: infinitesimal rotations are parametrized by a skew-symmetric matrix Eij, that is xi --> x'i = xi + Eijxj, Eij + Eji = 0 2. Relevant equations 3. The attempt at a solution My lecturer gave solutions and I'm trying to follow them but I'm getting lost at one point; xi --> xi + Eijxj => δxi = Eijxj Then he says 1/2JijEij = (δL/δvi)δxi I've no idea where this is coming from. I'm assuming Jij is the conserved charges? Where is the factor of 1/2 coming from?? He then says piEijxj = 1/2(pixj - pjxi)Eij Again, not sure where this comes from... Advice?