An extended Lagrangian formalism

Federico Talamucci

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arXiv · 1802.05041

An extended Lagrangian formalism

Federico Talamucci

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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.

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Federico Talamucci. 2018-02-14. An extended Lagrangian formalism. https://arxiv.org/abs/1802.05041

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