Q2- Find the possible values of energy of a particle of mass m located in a spherically symmetrical potential well U(r) = 0 for r < r_0 and U(r) = ∞ for r = r_0, in the case when the motion of the particle is described by a wave function ᴪ(r) depending only on r.

Instruction. When solving Schrödinger equation, make the substitution ᴪ(r)=χ(r)/r.

(a) Find the normalized eigenfunctions of the particle in the states for which ᴪ(r) depends only on r;

(b) Find the most probable value r_{prob} for the ground state of the particle and the probability of the particle to be in the region r < r_{prob}.