Classical Invariant Theory and the Equivalence Problem for Particle Lagrangians

@inproceedings{Kkrn2003ClassicalIT,
title={Classical Invariant Theory and the Equivalence Problem for Particle Lagrangians},
author={IWO k. Kkrn},
year={2003}
}

IWO k. Kkrn

Published 2003

The problem of equivalence of binary forms under linear changes of variables is shown to be a special case of the problem of equivalence of particle Lagrangians under the pseudogroup of transformations of both the independent and dependent vartables. The latter problem has a complete solution based on the equivalence method of Cartan. There are two particular rational covariants of any binary form which arc related by a “universal function.” The main result is that two binary forms are… CONTINUE READING