The state of the atomic electron is usually described by a wave function «nlm. briefly explain what each of n, l, and m are and state which values each can take. why are they called good quantum numbers? (ii) the atomic electron in its ground state is described by the wave function v 100 = 3/2 e9 erlag 9: " 2 show that this wave function is normalized. calculate the expectation values (r) and (rº) in this state, and determine the standard deviation ar. (iii) what is the probability density for a state described by a wave function vér, t)? state the conservation law for the probability density. (iv) calculate the probability current density for the atomic electron in its ground state. give reasons for the result you find. (v) outline the calculation of the probability current density for the atomic elec- tron in an arbitrary bound state y nem. what can you say about the direction of the probability current density vector?