Mass, Impetus and Force by Symplectic Realizations of the Static Group

Details Mass, Impetus and Force by Symplectic Realizations of the Static Group Mass, Impetus and Force by Symplectic Realizations of the Static Group

2005-09-13

arxiv.org/abs/math-ph/0509025v1

Physics

Mathematical Physics

11 pages

Scientific paper

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.

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