# Series expansion of a harmonic oscillator

1. Apr 29, 2012

### speedofdark8

1. The problem statement, all variables and given/known data

Use a series expansion ψ=A0x0+A1x1+A2x2+... to determine the three lowest-order wave functions for a harmonic oscillator with spring constant k and mass m, and show that the engergies are the expected values.

2. Relevant equations

Series expansion given above

Time independent Schrodinger's equation

3. The attempt at a solution

I am not familiar with series expansion. Asking others in the class, we got as far as what is in the picture, where we took the function for a harmonic oscillator F=-kx and substituted it for U in Schrodinger's Equation.

Last edited: Apr 29, 2012
2. May 1, 2012