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Geometric and Mathematical Relationship between Bose Cylinders and Slater Type Orbitals and a Special Case for Gaussian Two Poles

POSTER

Abstract

The application of the Bose cylinder logic has become significant core concept in statistical mechanics. This presentation explores the understanding of the Bose cylinder as a cylinder of two groups at the same inclination/longitude of electrons in the same subshells in two hemispheres (“seems magnetic” 2) relative to the as a multi-particle set, specifically, a full subshell.
First, this physical model for Bose cylinders would require four static forces:
E-p electrostatic attraction (opposites attract) as radial inward
Established 1/r repulsion electron-nucleon, potentially as the d(strong nuclear) as radial inward
Weak nuclear force as electron--nucleon attraction to the nucleus axis (weak) as axial inward
Ee-e electrostatic repulsion (like-kind repel) for the electrons in the same hemispheres (subshell-p as 2 hemispheres x 3) as axial outward
Second, in application to electron subshells:
Slater Type Orbitals would this 4-force interaction set and harmonics for a positive endcap radius distance: radial, longitudinal, and latitude for 2nd Quantum Number > 0.
Gaussian Type Orbitals is special case where radial, endcap d= 0 for only two electrons at the poles, only radial, so symmetry seems outward leading to Gauss. This Gaussian behavior would be a 2nd Quantum Number =0.

Presenters

  • Arno Vigen

    General Researcher, Independent Researcher

Authors

  • Arno Vigen

    General Researcher, Independent Researcher