RM1: THE CENTRAL THREE-BODY PROBLEM IN THE PLANE IS INTEGRABLE IN THE STRONG MAGNETIC FIELD LIMIT. 
 ELENCO COMPLETO 

DATA: 23-10-2017

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)


 SITO COLLEGATO 
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