1. (a) Calculate the expectation value V for the potential energy in the ground state of the hydrogen atom. (b) Show that in the ground state E = V/2, where E is the total energy. (c) Use the relation E = K + V to calculate the expectation value K of the kinetic energy in the ground state, and show that K = - V/2. These relations are obtained for any state of motion of any quantum mechanical (or classical) system with a potential in the form V(r) proportional to -1/r. They are sometimes called the Virial theorem