Geometric Relationship between Bose Cylinders and Slater Type Orbitals with Special Case for Gaussian
POSTER
Abstract
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, four static forces:
Electron-proton electrostatic attraction (opposites attract) as radial inward
Established 1/r repulsion electron-nucleon, potentially as the direct nucleostatic (strong nuclear) as radial inward
Weak nuclear force as electron--nucleon attraction to the nucleus axis (nucleostatic) as axial inward
Electron-electron 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.
Gaussian Type Orbitals would be the special case where the radial, endcap distance = 0 for only two electrons at the poles which would operate only radial, so symmetry only outward leading to Gauss. This Gaussian behavior would be associated with 2nd Quantum # =0.
First, four static forces:
Electron-proton electrostatic attraction (opposites attract) as radial inward
Established 1/r repulsion electron-nucleon, potentially as the direct nucleostatic (strong nuclear) as radial inward
Weak nuclear force as electron--nucleon attraction to the nucleus axis (nucleostatic) as axial inward
Electron-electron 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.
Gaussian Type Orbitals would be the special case where the radial, endcap distance = 0 for only two electrons at the poles which would operate only radial, so symmetry only outward leading to Gauss. This Gaussian behavior would be associated with 2nd Quantum # =0.
Presenters
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Arno Vigen
General Researcher, Independent Researcher
Authors
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Arno Vigen
General Researcher, Independent Researcher