Mass, Impetus and Force by Symplectic Realizations of the Static Group
| dc.creator | Nzotungicimpaye, Joachim | |
| dc.date | 2005-09-13 | |
| dc.date.accessioned | 2026-07-07T04:32:20Z | |
| dc.date.available | 2026-07-07T04:32:20Z | |
| dc.description | We show by symplectic realizations of the one dimensional Static group $G$ that the maximal $G$-elementary system is a a massive particle under an invariant force $f$ participating in the linear momentum and an invariant impetus $I$ participating in the change of position. Moreover the system is characterized by four physical quantities : a mass $m$, a boost $u=\frac{I}{m}$, an acceleration $a=\frac{f}{m}$ and an internal energy $U$. The hamiltonian of the system is a sum of the potential energy $V=-fq$ and a contribution $pu$ of the impetus. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0509025 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0509025 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58154 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 20C35; 37J15; 53D05; 53D20;53D22 | |
| dc.title | Mass, Impetus and Force by Symplectic Realizations of the Static Group | |
| dc.type | text |