A Translation of the T. Levi-Civita paper "Interpretazione Gruppale degli Integrali di un Sistema Canonico" (Rend. Acc. Lincei, 1899, s. 3a, vol.VII, pp. 235–238)
Аннотация:
In this paper we provide a translation of a paper by T. Levi-Civita, published in 1899, about the correspondence between symmetries and conservation laws for Hamilton’s equations. We discuss the results of this paper and their relationship with the more general classical results by E. Noether.
Ключевые слова:Levi-Civita, point symmetries, conservation laws, Hamilton’s equations, Noether’s theorem.