Think about a one-dimensional well with infinite walls. This well contains an electron. Solutions of the time-independent Schrodinger equation are of the form an sin (n π x/L) where L is the length of the well.
a) What is ‘An’ in terms of L and n so that the wave function for the electron is normalized?
b) Write down the general expression for the energy (in terms of the wave function index ‘n’) of an electron in this well.