Physics – Mathematical Physics
Scientific paper
2004-06-24
Physics
Mathematical Physics
To be published in the International Journal of Theoretical Physics
Scientific paper
10.1023/B:IJTP.0000048998.57747.
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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