Ground state energy and wavefuntion?

[pbeary]

Homework Statement

Find the ground state energy and the ground state wavefunction for a particle of mass m moving in the potential

V=$\frac{1}{2}$mw$^{2}$x$^{2}$ at x>0
V=$\infty$ at x<0

The Attempt at a Solution

Well, the problem I am having is that I have answering questions that always had a boundary such as -a<x<a or something of the like, but now that only one side looks like an infinite potential well, I am confused towards how I should tackle this problem...

can someone give me a hint so I can at least try to solve this?
thanks!

 

[vela]

Are you already familiar with the quantum simple harmonic oscillator?

 

[pbeary]

Oh! yes, I see now :)
I was too focused on simple wells that I forgot about it completely!
I'll give it a go and see how I do.

Thanks.