Functional Equations and Poincare Invariant Mechanical Systems
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We study the following functional equation that has arisen in the context of mechanical systems invariant under the Poincare algebra: \sum\limits_{i=1}^{n+1}\dfrac{\partial}{\partial x_{i}}\prod\limits_{j\neq i}f(x_{i}-x_{j}) =0,\qquad n \geq 2. New techniques are developed and the general solution within a certain class of functions is given. New solutions are found.
Keywords
Cite
@article{arxiv.math-ph/0110012,
title = {Functional Equations and Poincare Invariant Mechanical Systems},
author = {J. G. B. Byatt-Smith and H. W. Braden},
journal= {arXiv preprint arXiv:math-ph/0110012},
year = {2007}
}
Comments
22 pages LaTeX