Inequivalent lagrangians from constants of the motion |
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Authors: | C. Leubner |
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Affiliation: | Theoretical Physics Institute, University of Innsbruck, A-6020 Innsbruck, Austria |
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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. |
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