Shortcut for constructing any Lagrangian from its equations of motion

Roberto Hojman; Sergio Hojman; Julio Sheinbaum

doi:10.1103/PhysRevD.28.1333

Shortcut for constructing any Lagrangian from its equations of motion

Roberto Hojman, Sergio Hojman, Julio Sheinbaum

Faculty of Liberal Arts

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

We show how to construct the Lagrangians for any regular mechanical system. The Lagrangians are a linear combination of the left-hand sides of their own equations of motion (up to a total derivative). The examples suggest that the same holds even for singular systems in field theory.

Original language	English
Pages (from-to)	1333-1336
Number of pages	4
Journal	Physical Review D
Volume	28
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevD.28.1333
State	Published - 1983

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title = "Shortcut for constructing any Lagrangian from its equations of motion",

abstract = "We show how to construct the Lagrangians for any regular mechanical system. The Lagrangians are a linear combination of the left-hand sides of their own equations of motion (up to a total derivative). The examples suggest that the same holds even for singular systems in field theory.",

author = "Roberto Hojman and Sergio Hojman and Julio Sheinbaum",

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JO - Physical Review D

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Shortcut for constructing any Lagrangian from its equations of motion

Abstract

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