  We write a computer program that uses the recursion relation to calculate
wave function in the harmonic-oscillator potential for specified values of E/hv
(with its deviation 0.001) containing only even numbers of v (0,2,4,...). In
this work, differential equations are solved by power series methods, i.e. the
Schrodinger equation stationary state wavefunction of the harmonic-oscillator.
This technique is applied to obtain the wavefunction of the quantum harmonic
oscillator and is at a more sophisticated level than elsewhere in the course of
quantum physics. For the able student this can be a worthwhile extension to the
work on the harmonic-oscillator.
