Noether's theory for non-conservative generalised mechanical systems
- 1 February 1980
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 13 (2) , 431-435
- https://doi.org/10.1088/0305-4470/13/2/011
Abstract
Noether's theorem and Noether's inverse theorem for generalised mechanical systems described by Lagrangian functions of the second order and non-conservative forces are established. The existence of the first integral depends on the existence of solutions of the generalised Noether-Bessel-Hagen equation. The theory is based on the idea that the transformations of time and generalised coordinates together with non-conservative forces determine the transformations of velocities and accelerations. An illustrative problem is discussed.Keywords
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