Concatenating Variational Principles and the Kinetic Stress-Energy-Momentum Tensor
Mathematical Physics
2007-11-30 v1 math.MP
Abstract
We show how to "concatenate" variational principles over different bases into one over a single base, thereby providing a unified Lagrangian treatment of interacting systems. As an example we study a Klein-Gordon field interacting with a mesically charged particle. We employ our method to give a novel group-theoretic derivation of the kinetic stress-energy-momentum tensor density corresponding to the particle.
Keywords
Cite
@article{arxiv.0711.4679,
title = {Concatenating Variational Principles and the Kinetic Stress-Energy-Momentum Tensor},
author = {Marco Castrillon Lopez and Mark J. Gotay and Jerrold E. Marsden},
journal= {arXiv preprint arXiv:0711.4679},
year = {2007}
}
Comments
16 pages, 1 figure