

Author: Carinena J.F. Ranada M.F.
Publisher: Springer Publishing Company
ISSN: 0020-7748
Source: International Journal of Theoretical Physics, Vol.38, Iss.7, 1999-07, pp. : 2049-2061
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Abstract
Some properties relating to the theory of constants of motion with the existence of alternative Lagrangians are given, and then the case of the harmonic oscillator is analyzed. The &epsis; = 1/3 Henon-Heiles system is studied as a deformation of the harmonic oscillator. Several different alternative Lagrangians compatible with this deformation are constructed.
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