1- An electron moving in a metal nanowire is a reasonableapproximation of a particle in a one-dimensional infinite well.Suppose the electron is in a wire 10nm long. (a) Compute theground-state energy for the electron. (b) The electron moves freelyinside in metal nanowire. Find the electron’s velocity in groundstate. c) If the electron’s energy is equal to 10 eV, what is theelectron’s quantum number n?
2- Briefly explain the differences between quantum and classicalthermodynamical approximation of electron energy.
3- Think about the electron where it is in first energy state inmetal with length of L. (a) What would be the probability offinding it somewhere in the region 0< x< 3L/2? Find energylevel corresponding energy state of the electron.
4- Find the second state electron energy (E2) by substitutingthe radial wave function R that corresponds to n=2 l=0 and mı=0
