Abstract

GELOVER-SANTIAGO, A.L.  and  CORONA-GALINDO, M.G.. Continuous groups of transformations and time-dependent invariants. Rev. mex. fís. E [online]. 2007, vol.53, n.1, pp.112-114. ISSN 1870-3542.

In this paper we present a very simple derivation of the constants of motion for dynamical systems, which requires only an elementary knowledge of the theory of continuous groups. In addition, through the infinitesimal Lorenz transformations group, we obtain a clear interpretation of the invariant for the harmonic oscillator.

Keywords : Lie groups; Lorenz group; dynamical systems; Noether's theorem; infinitesimal transformations.

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