English

Superintegrability and Coulomb-Oscillator Duality

Mathematical Physics 2024-11-13 v1 math.MP

Abstract

This review is devoted to the problem of Coulomb (dyon)-oscillator duality in non-relativistic quantum mechanics, which is based on the so-called non-bijective quadratic transformations, i.e. Levi-Civita transformation, Kustaanheimo--Stiefel (KS-transformation) and Hurwitz transformation.

Cite

@article{arxiv.2411.07733,
  title  = {Superintegrability and Coulomb-Oscillator Duality},
  author = {Levon G. Mardoyan},
  journal= {arXiv preprint arXiv:2411.07733},
  year   = {2024}
}
R2 v1 2026-06-28T19:56:56.677Z