@Avodyne: That is correct. The basis is a "spherical" harmonic basis.. so any anisotropy will have to be an infinite series expansion, though the degree of anisotropy i.e ##|\omega_{xy}/\omega_z-1|## will decide the numerical convergence.. your earlier suggestion was helpful, thanks!
I've been trying to prove a rather simple looking concept. I have a code that calculates states of a 3D anisotropic oscillator in spherical coordinates. The spherical harmonics basis used to expand it's solutions in radial coordinate constraint the spectrum such that when the Hamiltonian is...
Hi everyone, I have a rather fundamental question about building oscillator wavefunctions numerically. I'm using Matlab. Since it's 1/√(2nn!∏)*exp(-x2/2)*Hn(x), the normalization term tends to zero rapidly. So for very large N (N>=152 in Matlab) it is zero to machine precision! Though asymptotic...