Volume 4, Issue 1-2, May 1997, Pages 117 - 123
Contact Transformations in Classical Mechanics
Available Online 1 May 1997.
- https://doi.org/10.2991/jnmp.1997.4.1-2.15How to use a DOI?
- 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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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 -