The lagrangian for a charged particle q of with a velocity v is mass m -43 1 l where the velocity-dependent potential u is specified by the scalar potential vector potential a as and the u q-qa v v. find the canonical momentum p of the particle. a (b) derive the hamiltonian h of the system. remind you that the hamiltonian function must be expressed in terms of the momentum, not the velocity oves in space with a constant magnetic field b such (b x r). assume that 0. show that (c) suppose the charged particle mov that the vector potential is given by a 1 r, 2] and 2m m