Journal of Nonlinear Mathematical Physics

Volume 4, Issue 1-2, May 1997, Pages 117 - 123

Contact Transformations in Classical Mechanics

Authors
Yurij Yaremko
Corresponding Author
Yurij Yaremko
Available Online 1 May 1997.
DOI
https://doi.org/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.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
4 - 1-2
Pages
117 - 123
Publication Date
1997/05
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.1997.4.1-2.15How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Yurij Yaremko
PY  - 1997
DA  - 1997/05
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  - https://doi.org/10.2991/jnmp.1997.4.1-2.15
ID  - Yaremko1997
ER  -