1. The problem statement, all variables and given/known data Why does the degeneracy of the first 4 energy's of the quantum harmonic oscillator differ when considering the solution in Cartesian and spherical polars. 2. Relevant equations For cart. E=h(bar)w(nx+ny+nz+3/2) For spherical polars E=h(bar)w(n+3/2) where n=l+j, where j is even. 3. The attempt at a solution The solution in Cartesian co ordinates depends on 3 independent variables where as the the spherical polar co ordinates we have a independent variable r and the azimuthal and radial parts are linked. Is this correct?