𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields

✍ Scribed by K. Efstathiou; R.H. Cushman; D.A. Sadovskiı́

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
420 KB
Volume
194
Category
Article
ISSN
0167-2789

No coin nor oath required. For personal study only.

✦ Synopsis

We consider the hydrogen atom in crossed electric and magnetic fields. We prove that near the Stark and Zeeman limits the system goes through two qualitatively different Hamiltonian Hopf bifurcations. We explain in detail the geometry of the bifurcations.

📜 SIMILAR VOLUMES

Two-body effects of the hydrogen atom in
Two-body effects of the hydrogen atom in crossed electric and magnetic fields
✍ P. Schmelcher; L.S. Cederbaum 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 670 KB

A potential energy picture for the hydrogen atom in crossed electric and magnetic fields is derived. Potential and kinetic energy terms of the exact Hamiltonian are identified via the Newtonian equations of motion. Because of the finite nuclear mass a diamagnetic potential term is present which prev