An extended Lagrangian formalism
Abstract
A simple formal procedure makes the main properties of the lagrangian binomial extendable to functions depending to any kind of order of the time--derivatives of the lagrangian coordinates. Such a broadly formulated binomial can provide the lagrangian components, in the classical sense of the Newton's law, for a quite general class of forces. At the same time, the generalized equations of motions recover some of the classical alternative formulations of the Lagrangian equations.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2018
- DOI:
- 10.48550/arXiv.1802.05041
- arXiv:
- arXiv:1802.05041
- Bibcode:
- 2018arXiv180205041T
- Keywords:
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- Physics - Classical Physics;
- Mathematical Physics