1. The problem statement, all variables and given/known data charge e is within 2 dimensions in presence of magnetic field. H = 1/2m (p - e/c A)^2 A = 1/2* B x r p and r have two components Show: H in terms of B along z axis resembles 2D HO (with some extra term) express H in terms of x, y, p_x, L_y 2. Relevant equations L = r x p Hamiltonian for HO 3. The attempt at a solution I plugged in B into H equation above so that gives: H = 1/2m [p- e/c (1/2*Bxr)] but i do not know what do do next. How do I express H in terms of B along z axis?