RM1: THE CENTRAL THREE-BODY PROBLEM IN THE PLANE IS INTEGRABLE IN THE STRONG MAGNETIC FIELD LIMIT.
SEZIONE DI ROMA I
The problem of N particles interacting through pairwise central forces is notoriously intractable for $N\geq3$. Some remarkable specific cases have been solved in one dimension. Here we show that the guiding center approximation---valid for charges moving in two dimensions in the limit of large constant magnetic fields---simplifies the three-body problem for an arbitrary interparticle interaction invariant under rotations and translations, making it solvable by quadratures. A spinorial representation for the system is introduced, which allows a visualization of its phase space as the corresponding Bloch sphere. Finally, a discussion of the quantization of the problem is presented. Francois Leyvraz (Instituto de Fisica, Universidad Nacional Autonoma de Mexico)

DATA: 23-10-2017

Sito Collegato : https://agenda.infn.it/conferenceDisplay.py?confId=14344

Istituto Nazionale di Fisica Nucleare - Piazza dei Caprettari, 70 - 00186 Roma
tel. +39 066840031 - fax +39 0668307924 - email: presidenza@presid.infn.it