Quantum dot (25 points total) a quantum dot is a small spherical particle (of e. g. cdse) that can trap electrons. for the purpose of describing the behavior of the electron, the quantum dot can be approximated as a three-dimensional spherical box, i. e. the electron is confined to the volume inside a sphere of radius r. the potential is v(r) = o for r r and v (r) = oo for r > r. (c) the function /(r) = n(r -r) with the normalization constant n = /15/(2tr5) is a reasonable approximation to the exact ground-state wavefunction. using /(r), estimate the ground-state energy (d) the exact ground-state energy is 2 mar2is this energy lower or higher than the one you obtained in (c)? briefly explain