Continuous groups of transformations and time-dependent invariants

Authors

  • A.L. Gelover-Santiago
  • M.G. Corona-Galindo

Keywords:

Lie groups, Lorenz group, dynamical systems, Noether's theorem, infinitesimal transformations

Abstract

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.

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Published

2007-01-01

How to Cite

[1]
A. Gelover-Santiago and M. Corona-Galindo, “Continuous groups of transformations and time-dependent invariants”, Rev. Mex. Fis. E, vol. 53, no. 1 Jan-Jun, pp. 112–114, Jan. 2007.

Issue

Vol. 53 No. 1 Jan-Jun (2007): Revista Mexicana de Física E

Section

Artículos

License

Copyright (c) 2019 Revista Mexicana de Física E

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