# Half harmonic oscillator

1. Dec 25, 2004

### yxgao

Why does the half of a harmonic oscillator potential allow only odd values of n?

Thx

2. Dec 25, 2004

### dextercioby

1.What do you mean by "half of a harmonic oscillator"??You should have written the text of the problem so anyone could figure it out...
2.Today it's Christmas Day.Leave QM for tomorrow at least... :tongue2: Are u gonna solve QM problems on the New Year's Eve too?? :tongue2:

Daniel.

NO QUANTUM MECHANICS ALLOWED ON CHRISTMAS!!!!!!!!!!

3. Dec 25, 2004

### Triss

If you mean half of a harmonic oscillator potential where $$V(0)=\infty$$, then looking at the wave functions for the full harmonic oscillator you can only admit those solutions where $$\psi(0)=0$$. That will give you the odd solutions.