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

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

2006-11-02

arxiv.org/abs/physics/0611018v1

Rev. Mex. Fis., 52 (2006) 429

Physics

Classical Physics

9 pages, Accepted for publication in Rev. Mex. Fis

Scientific paper

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.

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