On the Hydrogen Atom via Wigner-Heisenberg Algebra
R. de Lima Rodrigues
TL;DR
This paper explores a novel algebraic approach to the hydrogen atom using a super-Wigner oscillator in four dimensions, revealing its connection to the hydrogen atom through a specific mapping.
Contribution
It introduces an extension of the Kustaanheimo-Stiefel mapping to include a super-Wigner oscillator, linking it to the hydrogen atom in a new algebraic framework.
Findings
Hydrogen atom emerges from the bosonic sector of the super 3D system.
Extended mapping provides new insights into atomic structure.
Super-Wigner oscillator offers a novel algebraic perspective.
Abstract
We extend the usual Kustaanheimo-Stiefel mapping to study and discuss a constrained super-Wigner oscillator in four dimensions. We show that the physical hydrogen atom is the system that emerges in the bosonic sector of the mapped super 3D system.
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