Functional Equations and Poincare Invariant Mechanical Systems

Details Functional Equations and Poincare Invariant Mechanical Systems Functional Equations and Poincare Invariant Mechanical Systems

2001-10-09

arxiv.org/abs/math-ph/0110012v1

Physics

Mathematical Physics

22 pages LaTeX

Scientific paper

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.

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