Lagrangians galore

DOI10.1063/1.2821612zbMATH Open1153.81413arXiv0706.1008OpenAlexW3037382171MaRDI QIDQ3544561

Author name not available (Why is that?)

Publication date: 8 December 2008

Published in: (Search for Journal in Brave)

Abstract: Searching for a Lagrangian may seem either a trivial endeavour or an impossible task. In this paper we show that the Jacobi last multiplier associated with the Lie symmetries admitted by simple models of classical mechanics produces (too?) many Lagrangians in a simple way. We exemplify the method by such a classic as the simple harmonic oscillator, the harmonic oscillator in disguise [H Goldstein, {it Classical Mechanics}, 2nd edition (Addison-Wesley, Reading, 1980)] and the damped harmonic oscillator. This is the first paper in a series dedicated to this subject.

Full work available at URL: https://arxiv.org/abs/0706.1008

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