Let's say I have a 2D harmonic oscillator: 1. The problem statement, all variables and given/known data The potential is of course defined by: V = 1/2m(Omegax)x^2 + 1/2m(Omegay)y^2 2. Relevant equations Generally when doing a harmonic oscillator we find that in two dimensions the energy is just: (Nx+Ny+1)hbarOmega is the energy. How does this change when the Omegax and Omegay are not equal? 3. The attempt at a solution Do we simply get the energy as... E = (Nx+1/2)hbarOmegax + (Ny+1/2)hhbarOmegay ? That would seem logical, but would like the clarification.