S-equivalence and symmetries of first-order differential systems

S. Hojman; F. Zertuche

doi:10.1007/BF02729024

S-equivalence and symmetries of first-order differential systems

S. Hojman, F. Zertuche

Faculty of Liberal Arts

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

5 Scopus citations

Abstract

We prove that for first-order differential systems the set of S-equivalent transformations of Lagrangians coincides with the set of symmetry transformations of their equations of the motion. Noetherian symmetries are never enough to cover the whole set of symmetries of dynamical equations, even if the equations are of first order.

Original language	English
Pages (from-to)	1-8
Number of pages	8
Journal	Il Nuovo Cimento B
Volume	88
Issue number	1
DOIs	https://doi.org/10.1007/BF02729024
State	Published - Jul 1985

Keywords

PACS. 03.20 Classical mechanics of discrete systems: general mathematical aspects

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10.1007/BF02729024

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abstract = "We prove that for first-order differential systems the set of S-equivalent transformations of Lagrangians coincides with the set of symmetry transformations of their equations of the motion. Noetherian symmetries are never enough to cover the whole set of symmetries of dynamical equations, even if the equations are of first order.",

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AB - We prove that for first-order differential systems the set of S-equivalent transformations of Lagrangians coincides with the set of symmetry transformations of their equations of the motion. Noetherian symmetries are never enough to cover the whole set of symmetries of dynamical equations, even if the equations are of first order.

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S-equivalence and symmetries of first-order differential systems

Abstract

Keywords

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