English

The Stark problem as a concave toric domain

Symplectic Geometry 2021-06-18 v1

Abstract

The Stark problem is a completely integrable system which describes the motion of an electron in a constant electric field and subject to the attraction of a proton. In this paper we show that in the planar case after Levi-Civita regularization the bounded component of the energy hypersurfaces of the Stark problem for energies below the critical value can be interpreted as boundaries of concave toric domains.

Cite

@article{arxiv.2106.09288,
  title  = {The Stark problem as a concave toric domain},
  author = {Urs Frauenfelder},
  journal= {arXiv preprint arXiv:2106.09288},
  year   = {2021}
}

Comments

12 pages

R2 v1 2026-06-24T03:18:06.714Z