Hamiltonians and Lagrangians of non-autonomous one-dimensional mechanical systems

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It is shown that a given non-autonomous system of two first-order ordinary differential equations can be expressed in Hamiltonian form. The derivation presented here allow us to obtain previously known results such as the infinite number of Hamiltonians in the autonomous case and the Helmholtz condition for the existence of a Lagrangian.
9 pages, Accepted for publication in Rev. Mex. Fis

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Classical Physics, General Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/119551

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/physics/0611018
 http://arxiv.org/abs/physics/0611018
 Rev. Mex. Fis., 52 (2006) 429

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arXiv