We can approximate an electron moving in a nanowire as a one-dimensional in?nite square-well potential. Let the wire be 2 micrometers long. The nanowire is cooled to a temperature of 13K and we assume the electrons average kinetic energy is that of gas molecules at this temperature (3 2 kT).
a) What are the three lowest energy levels of the electrons?
b) What is the approximate quantum number of electrons moving in the wire?