Mass, Impetus and Force by Symplectic Realizations of the Static Group
Nzotungicimpaye, Joachim
arXiv, 0509025 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-09-13
Classification:  Mathematical Physics,  20C35,  37J15,  53D05,  53D20,  53D22 
@article{0509025,
     author = {Nzotungicimpaye, Joachim},
     title = {Mass, Impetus and Force by Symplectic Realizations of the Static Group},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0509025}
}

Nzotungicimpaye, Joachim. Mass, Impetus and Force by Symplectic Realizations of the Static Group. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0509025/