 |
Universität Augsburg
|
|
|
Universität Augsburg
|
|
Dr. Stefano Baranzini
University of Turin
spricht am
Montag, 13. Januar 2025
um
16 Uhr s.t.
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
|
In this talk, I will discuss the existence of a family of periodic trajectories for a simple atom model, the frozen planet orbits. We have n-electrons moving on a half-line with the nucleus sitting at the origin. Electrons are subject to reciprocal electric attraction/repulsion while the nucleus is fxed.
We will prove that, for any period T > 0, there exists a periodic solution of the following form. The rst electron keeps bouncing on the nucleus whereas the others oscillate synchronously, without collisions. We call these rajectories frozen planet orbits, from a Hamiltonian perspective they are collisional periodic brake solutions. If time permits, I will discuss a connection between a limit system, in which the negative charges disappear, and billiard dynamics. This is a joint work with G. Canneori and S. Terracini. |
| Hierzu ergeht herzliche Einladung. |
| PD Dr. Lei Zhao |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).