(2) Plot out the first 5 wavefunctions, and the wavefunction corresponding to n=10
(3) Re write the harmonic oscillator program so that it calls the Hermite polynomials either in a subroutine or function. Include the normalization factor for the wavefunctions as either a function or a subroutine. (include a copy of the program)
(4) Write a program to compare the potential energy surfaces for a harmonic and a Morse (anharmonic) oscillator.
V(x) = 0.5*x**2
and
VM(x) = D*(1-exp(-alpha*x))**2
with
(i) alpha = 0.1, D = 1/(2*alpha**2)
(ii) alpha = 1., D = 1/(2*alpha**2)