# Eigenvalues/functions for hamiltonian in 1D harmonic oscillator

Csuiter

## Homework Statement

Find the eigenvalues and eigenfunctions of H$$\hat{}$$ for a 1D harmonic oscillator system with V(x) = infinity for x<0, V(x) = 1/2kx^2 for x > or equal to 0.

## The Attempt at a Solution

I think the hamiltonian is equal to the potential + kinetic energy. I am pretty confused right now. I do ok in class but I had to miss a few days and I am lost.

$$V(x) = \frac{1}{2}kx^2$$