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Inequivalent lagrangians from constants of the motion
Authors:C. Leubner
Affiliation:Theoretical Physics Institute, University of Innsbruck, A-6020 Innsbruck, Austria
Abstract:It is shown that for any appropriate newtonian equation of motion in one spatial dimension the knowledge of two independent constants of the motion suffices to construct a non-denumerable set of explicit inequivalent lagrangians (up to a quadrature). Thereby a number of results by previous authors are simplified, unified and generalized.
Keywords:
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