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arXiv · math-ph/0406059

Lagrangians and Hamiltonians for one-dimensional systems

G. Gonzalez
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Abstract

An equation is obtained to find the Lagrangian for a one-dimensional autonomous system. The continuity of the first derivative of its constant of motion is assumed. This equation is solved for a generic nonconservative autonomous system that has certain quasi-relativistic properties. A new method based on a Taylor series expansion is used to obtain the associated Hamiltonian for this system. These results have the usual expression for a conservative system when the dissipation parameter goes to zero. An example of this approach is given.

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G. Gonzalez. 2004-06-24. Lagrangians and Hamiltonians for one-dimensional systems. https://doi.org/10.1023/b%3Aijtp.0000048998.57747.99

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