English

On the Hydrogen Atom via Wigner-Heisenberg Algebra

Mathematical Physics 2009-08-24 v2 math.MP

Abstract

We extend the usual Kustaanheimo-Stiefel 4D3D4D\to 3D 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.

Keywords

Cite

@article{arxiv.0812.0626,
  title  = {On the Hydrogen Atom via Wigner-Heisenberg Algebra},
  author = {R. de Lima Rodrigues},
  journal= {arXiv preprint arXiv:0812.0626},
  year   = {2009}
}

Comments

14 pages, no figure. This work was initiated in collaboration with Jambunatha Jayaraman (In memory), whose advises and encouragement were fundamental. http://www.cbpf.br

R2 v1 2026-06-21T11:47:46.613Z