English

Generalized MICZ-Kepler systems on three-dimensional sphere and hyperboloid

Mathematical Physics 2026-01-21 v1 math.MP

Abstract

We propose analogs of the generalized MICZ-Kepler system on the three-dimensional sphere and (two-sheet) hyperboloid. We then construct their energy spectra and normalized wave functions, concluding that the suggested systems are minimally superintegrable.

Cite

@article{arxiv.2601.13028,
  title  = {Generalized MICZ-Kepler systems on three-dimensional sphere and hyperboloid},
  author = {Levon Mardoyan and Armen Nersessian},
  journal= {arXiv preprint arXiv:2601.13028},
  year   = {2026}
}

Comments

10 pages

R2 v1 2026-07-01T09:10:33.636Z