On Mon, Oct 12, 2015 at 3:12 AM, Stefan Israelsson Tampe < [email protected]> wrote:
>In the model of infinitesimally thin orbitspheres with a charge > distribution >described by spherical harmonics, how does Mills account for > electron >degeneracy levels? Are they explained by having several > orbitspheres >coexisting simultaneously at the same radius? If the radius > of each >orbitsphere is distinct, how are degeneracy levels explained? > > I do believe that the orthogonallity is behind Mills approach as well, the > traped photons Is of the nature jl Ylm exp(iwt). then at the radius r, the > bessel jl is zero and the outside has zero electrical potential due to a > boundary condition of the form C*Ylm*exp(iwt) on the sphere. > I understand you to be saying that in Mills there are degenerate orbitspheres to account for the degenerate electron energy levels known in mainstream chemistry. I also understand the above to mean that, in your understanding, several orbitspheres sometimes coexist at the same radius but are orthogonal to one another (in a purely mathematical sense) to allow this degeneracy. A followup question: are there similarly degenerate electron levels below the ground state, where there are several orbitspheres at the same radius? If not, why not? Eric
