In reply to Harry Veeder's message of Mon, 18 Aug 2008 13:31:30 -0500: Hi Harry, [snip] >De Broglie's is solution is consistent with conservation of angular momentum >because he applies his quantization rule to orbits in plane. It seems to me >if 3-D lissajous type orbitals are allowed that would lead to an >inconsistency with the conservation of angular momentum. However if the >nucleus were engaged in its own lissajour type orbit around the electron the >conservation of angular momentum might be preserved. [snip] This is a good point, and I grant it. However I would argue that if you do as I suggested with the figure "8", then you will see that the deviation from orbiting in a plane can be quite small, and can in fact be treated as a perturbation superimposed on the basic simple math in the document. It was not my intent to provide an exact mathematical description, but rather an outline of the principle in a form that is relatively easy to envisage. In short, I'm more interested in making the case for shrunken orbitals per se than in providing an *exact* mathematical description in this document. Note that relativistic effects have also been deliberately ignored. Clearly however this is something that needs to go into an introduction. Regards,
Robin van Spaandonk <[EMAIL PROTECTED]>
