On a two-particles system associated to the one spatial dimensional Galilei group
| dc.creator | Nzotungicimpaye, Joachim | |
| dc.date | 2007-03-26 | |
| dc.date.accessioned | 2026-07-07T07:53:49Z | |
| dc.date.available | 2026-07-07T07:53:49Z | |
| dc.description | In [8], M.Daumens and M.Perroud studied a two Galilean free particles system by realizing the three dimensional Galilei group on its maximal coadjoint orbit. In this paper we realize a similar study for the one spatial dimesnional Galilei group. As its maximal coadjoint orbit describes a non free massive particle [6], this gives us a two non free galilean partcles system. Use of the barycenter coordinates gives rise to the notions of a total force and a relative force similar to those of a total linaer momentum and a relative linear momentum ([]8),[9],[10]). We will distinguish the case of a non isolated system from that of an isolated one. We will show that the barycenter is accelerated in the first case while it moves with a constant velocity in the second one. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0703074 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0703074 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126367 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 53D17;53D20;53Z05;70F05;70H05 | |
| dc.title | On a two-particles system associated to the one spatial dimensional Galilei group | |
| dc.type | text |