Degeneracies in energy levels of quantum systems of variable dimensionality

Publisher Website
Google Scholar
Abstract
Introduction of variable dimensionality to the Schrödinger equation gives rise to interdimensional degeneracies in the energy levels of one−, two−, and three−electron atoms and molecules. In all cases the degeneracies result from a factorization of the wavefunction into a product of a ’’radial’’ type function times an ’’angular’’ type function. Scaling of the orbital angular momentum quantum number in the one−electron radial equation to obtain ’’excess angular momentum’’ is shown to be equivalent to a variation in dimensionality.

This publication has 4 references indexed in Scilit: