English

Normalization and reduction of the Stark Hamiltonian

Symplectic Geometry 2022-06-23 v1

Abstract

This paper details a calculation of the second order normal form of the Stark effect Hamiltonian after regularization, using the Kustaanheimo- Stiefel mapping. After reduction we obtain an integrable two degree of freedom system on Sh2×Sh2S^2_h \times S^2_h , which we reduce again to obtain a one degree of freedom Hamiltonian system.

Keywords

Cite

@article{arxiv.2206.11178,
  title  = {Normalization and reduction of the Stark Hamiltonian},
  author = {Richard Cushman},
  journal= {arXiv preprint arXiv:2206.11178},
  year   = {2022}
}