Contact Transformations in Classical Mechanics

DOI

10.2991/jnmp.1997.4.1-2.15How to use a DOI?

Abstract

Transformations of coordinates of points in an infinite-dimensional graded vector space, the so-called contact transformations, are examined. An infinite jet prolongation of the extended configuration space of N spinless particles is the subspace of this vector space. The dynamical equivalence among Lagrangian N-body systems connected by an invertible jet transformation is established. As an example of the invertible jet transformations, a class of gauge transformations of Lagrangian variables is investigated. The method of contact transformations is applied to the WheelerFeynman electrodynamics for two point charges.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Yurij Yaremko
PY  - 1997
DA  - 1997/05/01
TI  - Contact Transformations in Classical Mechanics
JO  - Journal of Nonlinear Mathematical Physics
SP  - 117
EP  - 123
VL  - 4
IS  - 1-2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1997.4.1-2.15
DO  - 10.2991/jnmp.1997.4.1-2.15
ID  - Yaremko1997
ER  -