Consider a hydrogen atom in the state.
(a) For what value of, is the potential energy U(r) equal to the total energy E? Express your answer in terms of a. This value of, is called the classical turning point, since this is where a Newtonian particle would stop its motion and reverse direction.
(b) For, greater than the classical turning point, U(r) > E. Classically the particle cannot be in this region, since the kinetic energy cannot be negative. Calculate the probability of the electron being found in this classically forbidden region.