267(6): Lagrangian Analysis of Three Dimensional Orbits

In this note it is shown that any three dimensional orbit can be described in terms of two ellipses, Eqs. (8) and (19), one for theta and one for phi, and two Binet and Leibniz equations, i.e. the three dimensional orbit can be factorized into two planar orbits. These are exactly the same as the two ellipses used in the computations by co author Horst Eckardt in note 267(4). So I think I am now ready to write up my sections of UFT267. For the H atom the two ellipses give a rich variety of new results for the H atom, and so this method is generally applicable in computational quantum chemistry for any material: atomic, molecular, polymeric, colloidal and so forth; semiconductors, superconductors, and any system in which computational quantum chemistry can be applied, from Debye Hueckel to ab initio.

a267thpapernotes6.pdf

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